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Simplifying 2x(3x + 5) = 2600 Reorder the terms: 2x(5 + 3x) = 2600 (5 * 2x + 3x * 2x) = 2600 (10x + 6x2) = 2600 Solving 10x + 6x2 = 2600 Solving for variable 'x'. Reorder the terms: -2600 + 10x + 6x2 = 2600 + -2600 Combine like terms: 2600 + -2600 = 0 -2600 + 10x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1300 + 5x + 3x2) = 0 Factor a trinomial. 2((-65 + -3x)(20 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-65 + -3x)' equal to zero and attempt to solve: Simplifying -65 + -3x = 0 Solving -65 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -3x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -3x = 0 + 65 -3x = 0 + 65 Combine like terms: 0 + 65 = 65 -3x = 65 Divide each side by '-3'. x = -21.66666667 Simplifying x = -21.66666667Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 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 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-21.66666667, 20}
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