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Simplifying 3x = (3x + 4) * 8x Reorder the terms: 3x = (4 + 3x) * 8x Reorder the terms for easier multiplication: 3x = 8x(4 + 3x) 3x = (4 * 8x + 3x * 8x) 3x = (32x + 24x2) Solving 3x = 32x + 24x2 Solving for variable 'x'. Combine like terms: 3x + -32x = -29x -29x + -24x2 = 32x + 24x2 + -32x + -24x2 Reorder the terms: -29x + -24x2 = 32x + -32x + 24x2 + -24x2 Combine like terms: 32x + -32x = 0 -29x + -24x2 = 0 + 24x2 + -24x2 -29x + -24x2 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 -29x + -24x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(29 + 24x) = 0 Ignore the factor -1.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 '(29 + 24x)' equal to zero and attempt to solve: Simplifying 29 + 24x = 0 Solving 29 + 24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 24x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 24x = 0 + -29 24x = 0 + -29 Combine like terms: 0 + -29 = -29 24x = -29 Divide each side by '24'. x = -1.208333333 Simplifying x = -1.208333333Solution
x = {0, -1.208333333}
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