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Simplifying 6x(3x + -4) + -4x(4x + 5) = 0 Reorder the terms: 6x(-4 + 3x) + -4x(4x + 5) = 0 (-4 * 6x + 3x * 6x) + -4x(4x + 5) = 0 (-24x + 18x2) + -4x(4x + 5) = 0 Reorder the terms: -24x + 18x2 + -4x(5 + 4x) = 0 -24x + 18x2 + (5 * -4x + 4x * -4x) = 0 -24x + 18x2 + (-20x + -16x2) = 0 Reorder the terms: -24x + -20x + 18x2 + -16x2 = 0 Combine like terms: -24x + -20x = -44x -44x + 18x2 + -16x2 = 0 Combine like terms: 18x2 + -16x2 = 2x2 -44x + 2x2 = 0 Solving -44x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-22 + x) = 0 Ignore the factor 2.Subproblem 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 '(-22 + x)' equal to zero and attempt to solve: Simplifying -22 + x = 0 Solving -22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + x = 0 + 22 x = 0 + 22 Combine like terms: 0 + 22 = 22 x = 22 Simplifying x = 22Solution
x = {0, 22}
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