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Simplifying (4x + 10)(2x) = 28x Reorder the terms: (10 + 4x)(2x) = 28x Remove parenthesis around (2x) (10 + 4x) * 2x = 28x Reorder the terms for easier multiplication: 2x(10 + 4x) = 28x (10 * 2x + 4x * 2x) = 28x (20x + 8x2) = 28x Solving 20x + 8x2 = 28x Solving for variable 'x'. Reorder the terms: 20x + -28x + 8x2 = 28x + -28x Combine like terms: 20x + -28x = -8x -8x + 8x2 = 28x + -28x Combine like terms: 28x + -28x = 0 -8x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-1 + x) = 0 Ignore the factor 8.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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