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Simplifying x(x + 2) + 4(3 + 10x) + 12x + -12 = 0 Reorder the terms: x(2 + x) + 4(3 + 10x) + 12x + -12 = 0 (2 * x + x * x) + 4(3 + 10x) + 12x + -12 = 0 (2x + x2) + 4(3 + 10x) + 12x + -12 = 0 2x + x2 + (3 * 4 + 10x * 4) + 12x + -12 = 0 2x + x2 + (12 + 40x) + 12x + -12 = 0 Reorder the terms: 12 + -12 + 2x + 40x + 12x + x2 = 0 Combine like terms: 12 + -12 = 0 0 + 2x + 40x + 12x + x2 = 0 2x + 40x + 12x + x2 = 0 Combine like terms: 2x + 40x = 42x 42x + 12x + x2 = 0 Combine like terms: 42x + 12x = 54x 54x + x2 = 0 Solving 54x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(54 + x) = 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 '(54 + x)' equal to zero and attempt to solve: Simplifying 54 + x = 0 Solving 54 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + x = 0 + -54 x = 0 + -54 Combine like terms: 0 + -54 = -54 x = -54 Simplifying x = -54Solution
x = {0, -54}
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