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