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Simplifying 9x2 + -18x + 9 = 16x2 Reorder the terms: 9 + -18x + 9x2 = 16x2 Solving 9 + -18x + 9x2 = 16x2 Solving for variable 'x'. Combine like terms: 9x2 + -16x2 = -7x2 9 + -18x + -7x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 9 + -18x + -7x2 = 0 Factor a trinomial. (3 + -7x)(3 + x) = 0Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.4285714286, -3}
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