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Simplifying 6x = 3x(x + 78) Reorder the terms: 6x = 3x(78 + x) 6x = (78 * 3x + x * 3x) 6x = (234x + 3x2) Solving 6x = 234x + 3x2 Solving for variable 'x'. Combine like terms: 6x + -234x = -228x -228x + -3x2 = 234x + 3x2 + -234x + -3x2 Reorder the terms: -228x + -3x2 = 234x + -234x + 3x2 + -3x2 Combine like terms: 234x + -234x = 0 -228x + -3x2 = 0 + 3x2 + -3x2 -228x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -228x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(76 + x) = 0 Ignore the factor -3.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 '(76 + x)' equal to zero and attempt to solve: Simplifying 76 + x = 0 Solving 76 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + x = 0 + -76 Combine like terms: 76 + -76 = 0 0 + x = 0 + -76 x = 0 + -76 Combine like terms: 0 + -76 = -76 x = -76 Simplifying x = -76Solution
x = {0, -76}
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