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Simplifying 4x2 + 4x = x2 + -4x Reorder the terms: 4x + 4x2 = x2 + -4x Reorder the terms: 4x + 4x2 = -4x + x2 Solving 4x + 4x2 = -4x + x2 Solving for variable 'x'. Reorder the terms: 4x + 4x + 4x2 + -1x2 = -4x + x2 + 4x + -1x2 Combine like terms: 4x + 4x = 8x 8x + 4x2 + -1x2 = -4x + x2 + 4x + -1x2 Combine like terms: 4x2 + -1x2 = 3x2 8x + 3x2 = -4x + x2 + 4x + -1x2 Reorder the terms: 8x + 3x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 8x + 3x2 = 0 + x2 + -1x2 8x + 3x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(8 + 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 '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {0, -2.666666667}
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