Solve for all values of x by factoring. x^(2)+2x+2=2 Answer: x=

Subtract and Simplify: Subtract 2 from both sides of the equation to set it equal to zero. x^2 + 2x + 2 - 2 = 2 - 2 Simplify the equation. x^2 + 2x = 0Factor Out Common Term: Factor out the common term x from the left side of the equation. x(x + 2) = 0Apply Zero-Product Property: Apply the zero-product property, which states that if a product of two factors is zero, then at least one of the factors must be zero. Set each factor equal to zero and solve for x. x = 0 or x + 2 = 0Solve for x: Solve the second equation for x. x + 2 = 0 Subtract 2 from both sides. x = -2

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

Q. Solve for all values of

x

by factoring.

\newline

x^{2}+2 x+2=2

\newline

Answer:

x=

Subtract and Simplify: Subtract $2$ from both sides of the equation to set it equal to zero. $\newline$ $x^2 + 2x + 2 - 2 = 2 - 2$ $\newline$ Simplify the equation. $\newline$ $x^2 + 2x = 0$
Factor Out Common Term: Factor out the common term $x$ from the left side of the equation. $x(x + 2) = 0$
Apply Zero-Product Property: Apply the zero-product property, which states that if a product of two factors is zero, then at least one of the factors must be zero. $\newline$ Set each factor equal to zero and solve for $x$ . $\newline$ $x = 0$ or $x + 2 = 0$
Solve for x: Solve the second equation for x. $\newline$ $x + 2 = 0$ $\newline$ Subtract $2$ from both sides. $\newline$ $x = -2$