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Simplifying 8x(x + 7) + -7(x + 7) = 0 Reorder the terms: 8x(7 + x) + -7(x + 7) = 0 (7 * 8x + x * 8x) + -7(x + 7) = 0 (56x + 8x2) + -7(x + 7) = 0 Reorder the terms: 56x + 8x2 + -7(7 + x) = 0 56x + 8x2 + (7 * -7 + x * -7) = 0 56x + 8x2 + (-49 + -7x) = 0 Reorder the terms: -49 + 56x + -7x + 8x2 = 0 Combine like terms: 56x + -7x = 49x -49 + 49x + 8x2 = 0 Solving -49 + 49x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(7 + -8x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 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 = {-7, 0.875}
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