Solve for x. Enter the solutions from least to greatest. {:[(x-7)(-4x-2)=0],[" lesser "x=◻],[" greater "x=◻]:}

Factored Polynomial Equation: Factored polynomial: (x - 7)(-4x - 2) = 0 Which equation finds the roots for this polynomial? Set the polynomial equal to zero. (x - 7)(-4x - 2) = 0First Root Calculation: First root: x - 7 = 0 What is the value of x? x - 7 = 0 x - 7 + 7 = 0 + 7 x = 7Second Root Calculation: Second root: -4x - 2 = 0 What is the value of x? -4x - 2 = 0 -4x - 2 + 2 = 0 + 2 -4x = 2 x = 2 / -4 x = -1/2Ordering Roots: We have found two roots: x = 7 x = -1/2 Now we need to write the roots in order from least to greatest. x = -1/2 (lesser) x = 7 (greater)

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Math Problems

Algebra 2

Find the roots of factored polynomials

Full solution

Q. Solve for

x

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Enter the solutions from least to greatest.

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\begin{array}{l} (x-7)(-4 x-2)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}

Factored Polynomial Equation: Factored polynomial: x - $7)( $-4$ x - $2$ ) = $0$ (\newline$Which equation finds the roots for this polynomial? $\newline$ Set the polynomial equal to zero. $\newline$ x - \(7)( $-4$ x - $2$ ) = $0$ \
First Root Calculation: First root: $x - 7 = 0$ $\newline$ What is the value of $x$ ? $\newline$ $x - 7 = 0$ $\newline$ $x - 7 + 7 = 0 + 7$ $\newline$ $x = 7$
Second Root Calculation: Second root: $-4x - 2 = 0$ $\newline$ What is the value of $x$ ? $\newline$ $-4x - 2 = 0$ $\newline$ $-4x - 2 + 2 = 0 + 2$ $\newline$ $-4x = 2$ $\newline$ $x = \frac{2}{-4}$ $\newline$ $x = -\frac{1}{2}$
Ordering Roots: We have found two roots: $\newline$ $x = 7$ $\newline$ $x = -\frac{1}{2}$ $\newline$ Now we need to write the roots in order from least to greatest. $\newline$ $x = -\frac{1}{2}$ (lesser) $\newline$ $x = 7$ (greater)