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Simplifying 5x2 + 40x = 2800 Reorder the terms: 40x + 5x2 = 2800 Solving 40x + 5x2 = 2800 Solving for variable 'x'. Reorder the terms: -2800 + 40x + 5x2 = 2800 + -2800 Combine like terms: 2800 + -2800 = 0 -2800 + 40x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-560 + 8x + x2) = 0 Factor a trinomial. 5((-28 + -1x)(20 + -1x)) = 0 Ignore the factor 5.Subproblem 1
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 = -28Subproblem 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 = {-28, 20}
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