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Simplifying (3x + 4)(x + -6) + 24 = 0 Reorder the terms: (4 + 3x)(x + -6) + 24 = 0 Reorder the terms: (4 + 3x)(-6 + x) + 24 = 0 Multiply (4 + 3x) * (-6 + x) (4(-6 + x) + 3x * (-6 + x)) + 24 = 0 ((-6 * 4 + x * 4) + 3x * (-6 + x)) + 24 = 0 ((-24 + 4x) + 3x * (-6 + x)) + 24 = 0 (-24 + 4x + (-6 * 3x + x * 3x)) + 24 = 0 (-24 + 4x + (-18x + 3x2)) + 24 = 0 Combine like terms: 4x + -18x = -14x (-24 + -14x + 3x2) + 24 = 0 Reorder the terms: -24 + 24 + -14x + 3x2 = 0 Combine like terms: -24 + 24 = 0 0 + -14x + 3x2 = 0 -14x + 3x2 = 0 Solving -14x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 3x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-14 + 3x)' equal to zero and attempt to solve: Simplifying -14 + 3x = 0 Solving -14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667Solution
x = {0, 4.666666667}
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