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Simplifying 7x + 9 = 2x(4x + 4) Reorder the terms: 9 + 7x = 2x(4x + 4) Reorder the terms: 9 + 7x = 2x(4 + 4x) 9 + 7x = (4 * 2x + 4x * 2x) 9 + 7x = (8x + 8x2) Solving 9 + 7x = 8x + 8x2 Solving for variable 'x'. Combine like terms: 7x + -8x = -1x 9 + -1x + -8x2 = 8x + 8x2 + -8x + -8x2 Reorder the terms: 9 + -1x + -8x2 = 8x + -8x + 8x2 + -8x2 Combine like terms: 8x + -8x = 0 9 + -1x + -8x2 = 0 + 8x2 + -8x2 9 + -1x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 9 + -1x + -8x2 = 0 Factor a trinomial. (1 + -1x)(9 + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 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 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {1, -1.125}
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