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Simplifying 4x(x + -7) = -24 Reorder the terms: 4x(-7 + x) = -24 (-7 * 4x + x * 4x) = -24 (-28x + 4x2) = -24 Solving -28x + 4x2 = -24 Solving for variable 'x'. Reorder the terms: 24 + -28x + 4x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -28x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -7x + x2) = 0 Factor a trinomial. 4((1 + -1x)(6 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {1, 6}
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