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Simplifying 3x(3x + -2) + -4x(3x + 4) = 0 Reorder the terms: 3x(-2 + 3x) + -4x(3x + 4) = 0 (-2 * 3x + 3x * 3x) + -4x(3x + 4) = 0 (-6x + 9x2) + -4x(3x + 4) = 0 Reorder the terms: -6x + 9x2 + -4x(4 + 3x) = 0 -6x + 9x2 + (4 * -4x + 3x * -4x) = 0 -6x + 9x2 + (-16x + -12x2) = 0 Reorder the terms: -6x + -16x + 9x2 + -12x2 = 0 Combine like terms: -6x + -16x = -22x -22x + 9x2 + -12x2 = 0 Combine like terms: 9x2 + -12x2 = -3x2 -22x + -3x2 = 0 Solving -22x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(22 + 3x) = 0 Ignore the factor -1.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 + 3x)' equal to zero and attempt to solve: Simplifying 22 + 3x = 0 Solving 22 + 3x = 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 + 3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 0 + -22 3x = 0 + -22 Combine like terms: 0 + -22 = -22 3x = -22 Divide each side by '3'. x = -7.333333333 Simplifying x = -7.333333333Solution
x = {0, -7.333333333}
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