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Simplifying (9 + -2x)(9 + -2x) = 0 Multiply (9 + -2x) * (9 + -2x) (9(9 + -2x) + -2x * (9 + -2x)) = 0 ((9 * 9 + -2x * 9) + -2x * (9 + -2x)) = 0 ((81 + -18x) + -2x * (9 + -2x)) = 0 (81 + -18x + (9 * -2x + -2x * -2x)) = 0 (81 + -18x + (-18x + 4x2)) = 0 Combine like terms: -18x + -18x = -36x (81 + -36x + 4x2) = 0 Solving 81 + -36x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {4.5, 4.5}
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