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Simplifying -25x2 + -5x + 1260 = 0 Reorder the terms: 1260 + -5x + -25x2 = 0 Solving 1260 + -5x + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(252 + -1x + -5x2) = 0 Factor a trinomial. 5((7 + -1x)(36 + 5x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(36 + 5x)' equal to zero and attempt to solve: Simplifying 36 + 5x = 0 Solving 36 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 5x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 5x = 0 + -36 5x = 0 + -36 Combine like terms: 0 + -36 = -36 5x = -36 Divide each side by '5'. x = -7.2 Simplifying x = -7.2Solution
x = {7, -7.2}
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