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Simplifying 3(8x + -3)(x + 7) = 0 Reorder the terms: 3(-3 + 8x)(x + 7) = 0 Reorder the terms: 3(-3 + 8x)(7 + x) = 0 Multiply (-3 + 8x) * (7 + x) 3(-3(7 + x) + 8x * (7 + x)) = 0 3((7 * -3 + x * -3) + 8x * (7 + x)) = 0 3((-21 + -3x) + 8x * (7 + x)) = 0 3(-21 + -3x + (7 * 8x + x * 8x)) = 0 3(-21 + -3x + (56x + 8x2)) = 0 Combine like terms: -3x + 56x = 53x 3(-21 + 53x + 8x2) = 0 (-21 * 3 + 53x * 3 + 8x2 * 3) = 0 (-63 + 159x + 24x2) = 0 Solving -63 + 159x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-21 + 53x + 8x2) = 0 Factor a trinomial. 3((-7 + -1x)(3 + -8x)) = 0 Ignore the factor 3.Subproblem 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 '(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 = 0.375Solution
x = {-7, 0.375}
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