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Simplifying 25 = -5x2 + 30x + 25 Reorder the terms: 25 = 25 + 30x + -5x2 Add '-25' to each side of the equation. 25 + -25 = 25 + 30x + -25 + -5x2 Combine like terms: 25 + -25 = 0 0 = 25 + 30x + -25 + -5x2 Reorder the terms: 0 = 25 + -25 + 30x + -5x2 Combine like terms: 25 + -25 = 0 0 = 0 + 30x + -5x2 0 = 30x + -5x2 Solving 0 = 30x + -5x2 Solving for variable 'x'. Remove the zero: -30x + 5x2 = 30x + -5x2 + -30x + 5x2 Reorder the terms: -30x + 5x2 = 30x + -30x + -5x2 + 5x2 Combine like terms: 30x + -30x = 0 -30x + 5x2 = 0 + -5x2 + 5x2 -30x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -30x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-6 + x) = 0 Ignore the factor 5.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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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