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Simplifying 7x(7x + 18) = 14x + -64 Reorder the terms: 7x(18 + 7x) = 14x + -64 (18 * 7x + 7x * 7x) = 14x + -64 (126x + 49x2) = 14x + -64 Reorder the terms: 126x + 49x2 = -64 + 14x Solving 126x + 49x2 = -64 + 14x Solving for variable 'x'. Reorder the terms: 64 + 126x + -14x + 49x2 = -64 + 14x + 64 + -14x Combine like terms: 126x + -14x = 112x 64 + 112x + 49x2 = -64 + 14x + 64 + -14x Reorder the terms: 64 + 112x + 49x2 = -64 + 64 + 14x + -14x Combine like terms: -64 + 64 = 0 64 + 112x + 49x2 = 0 + 14x + -14x 64 + 112x + 49x2 = 14x + -14x Combine like terms: 14x + -14x = 0 64 + 112x + 49x2 = 0 Factor a trinomial. (8 + 7x)(8 + 7x) = 0Subproblem 1
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 2
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Solution
x = {-1.142857143, -1.142857143}
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