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Simplifying 8x(x + -3) + 7(x + -3) = 0 Reorder the terms: 8x(-3 + x) + 7(x + -3) = 0 (-3 * 8x + x * 8x) + 7(x + -3) = 0 (-24x + 8x2) + 7(x + -3) = 0 Reorder the terms: -24x + 8x2 + 7(-3 + x) = 0 -24x + 8x2 + (-3 * 7 + x * 7) = 0 -24x + 8x2 + (-21 + 7x) = 0 Reorder the terms: -21 + -24x + 7x + 8x2 = 0 Combine like terms: -24x + 7x = -17x -21 + -17x + 8x2 = 0 Solving -21 + -17x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x)(3 + -1x) = 0Subproblem 1
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 = -0.875Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.875, 3}
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