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Simplifying (3x + 4) * x = 100x Reorder the terms: (4 + 3x) * x = 100x Reorder the terms for easier multiplication: x(4 + 3x) = 100x (4 * x + 3x * x) = 100x (4x + 3x2) = 100x Solving 4x + 3x2 = 100x Solving for variable 'x'. Reorder the terms: 4x + -100x + 3x2 = 100x + -100x Combine like terms: 4x + -100x = -96x -96x + 3x2 = 100x + -100x Combine like terms: 100x + -100x = 0 -96x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-32 + 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 '(-32 + x)' equal to zero and attempt to solve: Simplifying -32 + x = 0 Solving -32 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + x = 0 + 32 x = 0 + 32 Combine like terms: 0 + 32 = 32 x = 32 Simplifying x = 32Solution
x = {0, 32}
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