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Simplifying 24x2 + -12x = -16x2 + -16x Reorder the terms: -12x + 24x2 = -16x2 + -16x Reorder the terms: -12x + 24x2 = -16x + -16x2 Solving -12x + 24x2 = -16x + -16x2 Solving for variable 'x'. Reorder the terms: -12x + 16x + 24x2 + 16x2 = -16x + -16x2 + 16x + 16x2 Combine like terms: -12x + 16x = 4x 4x + 24x2 + 16x2 = -16x + -16x2 + 16x + 16x2 Combine like terms: 24x2 + 16x2 = 40x2 4x + 40x2 = -16x + -16x2 + 16x + 16x2 Reorder the terms: 4x + 40x2 = -16x + 16x + -16x2 + 16x2 Combine like terms: -16x + 16x = 0 4x + 40x2 = 0 + -16x2 + 16x2 4x + 40x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 4x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + 10x) = 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 '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1Solution
x = {0, -0.1}
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