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Simplifying -2x(-2x + -2) + 4x(-6x + -3) = 0 Reorder the terms: -2x(-2 + -2x) + 4x(-6x + -3) = 0 (-2 * -2x + -2x * -2x) + 4x(-6x + -3) = 0 (4x + 4x2) + 4x(-6x + -3) = 0 Reorder the terms: 4x + 4x2 + 4x(-3 + -6x) = 0 4x + 4x2 + (-3 * 4x + -6x * 4x) = 0 4x + 4x2 + (-12x + -24x2) = 0 Reorder the terms: 4x + -12x + 4x2 + -24x2 = 0 Combine like terms: 4x + -12x = -8x -8x + 4x2 + -24x2 = 0 Combine like terms: 4x2 + -24x2 = -20x2 -8x + -20x2 = 0 Solving -8x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x'. -4x(2 + 5x) = 0 Ignore the factor -4.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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {0, -0.4}
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