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Simplifying -25x2 + -70x + -13 = 0 Reorder the terms: -13 + -70x + -25x2 = 0 Solving -13 + -70x + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(13 + 70x + 25x2) = 0 Factor a trinomial. -1((13 + 5x)(1 + 5x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(13 + 5x)' equal to zero and attempt to solve: Simplifying 13 + 5x = 0 Solving 13 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 0 + -13 5x = 0 + -13 Combine like terms: 0 + -13 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-2.6, -0.2}
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