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Simplifying (3 + -2x)(3 + 2x) = 5x Multiply (3 + -2x) * (3 + 2x) (3(3 + 2x) + -2x * (3 + 2x)) = 5x ((3 * 3 + 2x * 3) + -2x * (3 + 2x)) = 5x ((9 + 6x) + -2x * (3 + 2x)) = 5x (9 + 6x + (3 * -2x + 2x * -2x)) = 5x (9 + 6x + (-6x + -4x2)) = 5x Combine like terms: 6x + -6x = 0 (9 + 0 + -4x2) = 5x (9 + -4x2) = 5x Solving 9 + -4x2 = 5x Solving for variable 'x'. Reorder the terms: 9 + -5x + -4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 9 + -5x + -4x2 = 0 Factor a trinomial. (1 + -1x)(9 + 4x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Solution
x = {1, -2.25}
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