Solve the quadratic by factoring. 4x^(2)-9x+5=3 Answer: x=

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Solve the quadratic by factoring.  4x^(2)-9x+5=3 Answer:  x=

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Set Quadratic Equation to Zero: First, we need to set the quadratic equation to zero by subtracting 3 from both sides of the equation. 4x^2 - 9x + 5 - 3 = 0 Simplify the equation: 4x^2 - 9x + 2 = 0Identify Coefficients: Identify the coefficients a, b, and c in the quadratic equation ax^2 + bx + c = 0. In the equation 4x^2 - 9x + 2 = 0, we have: a = 4 b = -9 c = 2Find Two Numbers: Find two numbers that multiply to a*c (which is 4*2 = 8) and add up to b (which is -9). The two numbers that satisfy these conditions are -8 and -1 because: -8 * -1 = 8 -8 + -1 = -9Rewrite Middle Term: Rewrite the middle term, -9x, using the two numbers found in the previous step. 4x^2 - 9x + 2 = 4x^2 - 8x - x + 2Factor by Grouping: Factor by grouping. Group the first two terms together and the last two terms together. (4x^2 - 8x) + (-x + 2) Factor out the common factors from each group. 4x(x - 2) - 1(x - 2)Factor Out Common Factors: Since both groups contain the common factor (x - 2), factor it out. (4x - 1)(x - 2) = 0Set Factors Equal to Zero: Set each factor equal to zero and solve for x. 4x - 1 = 0 or x - 2 = 0 For the first equation, add 1 to both sides: 4x = 1 Divide by 4: x = 1/4 For the second equation, add 2 to both sides: x = 2

Solve the quadratic by factoring. $\newline$ $4 x^{2}-9 x+5=3$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline4x2−9x+5=3 4 x^{2}-9 x+5=3 4x2−9x+5=3\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $4 x^{2}-9 x+5=3$ $\newline$ Answer: $x=$