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Simplifying 3x * x + 15x = 2250 Multiply x * x 3x2 + 15x = 2250 Reorder the terms: 15x + 3x2 = 2250 Solving 15x + 3x2 = 2250 Solving for variable 'x'. Reorder the terms: -2250 + 15x + 3x2 = 2250 + -2250 Combine like terms: 2250 + -2250 = 0 -2250 + 15x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-750 + 5x + x2) = 0 Factor a trinomial. 3((-30 + -1x)(25 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-30, 25}
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