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Simplifying 30x + -5x2 = 25 Solving 30x + -5x2 = 25 Solving for variable 'x'. Reorder the terms: -25 + 30x + -5x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 30x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-5 + 6x + -1x2) = 0 Factor a trinomial. 5((-5 + x)(1 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {5, 1}
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