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Simplifying x(x + 8) + -1(25x + 3x) = 0 Reorder the terms: x(8 + x) + -1(25x + 3x) = 0 (8 * x + x * x) + -1(25x + 3x) = 0 (8x + x2) + -1(25x + 3x) = 0 Combine like terms: 25x + 3x = 28x 8x + x2 + -1(28x) = 0 Remove parenthesis around (28x) 8x + x2 + -1 * 28x = 0 Multiply -1 * 28 8x + x2 + -28x = 0 Reorder the terms: 8x + -28x + x2 = 0 Combine like terms: 8x + -28x = -20x -20x + x2 = 0 Solving -20x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + x) = 0Subproblem 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Solution
x = {0, 20}
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