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Simplifying (8x + -3)(x + -7) = 0 Reorder the terms: (-3 + 8x)(x + -7) = 0 Reorder the terms: (-3 + 8x)(-7 + x) = 0 Multiply (-3 + 8x) * (-7 + x) (-3(-7 + x) + 8x * (-7 + x)) = 0 ((-7 * -3 + x * -3) + 8x * (-7 + x)) = 0 ((21 + -3x) + 8x * (-7 + x)) = 0 (21 + -3x + (-7 * 8x + x * 8x)) = 0 (21 + -3x + (-56x + 8x2)) = 0 Combine like terms: -3x + -56x = -59x (21 + -59x + 8x2) = 0 Solving 21 + -59x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(7 + -1x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
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 = 7Solution
x = {0.375, 7}
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