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Simplifying (8x + -7)(3 + -1x) = 0 Reorder the terms: (-7 + 8x)(3 + -1x) = 0 Multiply (-7 + 8x) * (3 + -1x) (-7(3 + -1x) + 8x * (3 + -1x)) = 0 ((3 * -7 + -1x * -7) + 8x * (3 + -1x)) = 0 ((-21 + 7x) + 8x * (3 + -1x)) = 0 (-21 + 7x + (3 * 8x + -1x * 8x)) = 0 (-21 + 7x + (24x + -8x2)) = 0 Combine like terms: 7x + 24x = 31x (-21 + 31x + -8x2) = 0 Solving -21 + 31x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + x)(7 + -8x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 0.875}
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