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