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Simplifying 7 + -8x(1x) = 2x + -3(1x) Remove parenthesis around (1x) 7 + -8x * 1x = 2x + -3(1x) Reorder the terms for easier multiplication: 7 + -8 * 1x * x = 2x + -3(1x) Multiply -8 * 1 7 + -8x * x = 2x + -3(1x) Multiply x * x 7 + -8x2 = 2x + -3(1x) Remove parenthesis around (1x) 7 + -8x2 = 2x + -3 * 1x Multiply -3 * 1 7 + -8x2 = 2x + -3x Combine like terms: 2x + -3x = -1x 7 + -8x2 = -1x Solving 7 + -8x2 = -1x Solving for variable 'x'. Reorder the terms: 7 + x + -8x2 = -1x + x Combine like terms: -1x + x = 0 7 + x + -8x2 = 0 Factor a trinomial. (1 + -1x)(7 + 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 '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875Solution
x = {1, -0.875}
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