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Simplifying x2 + 15x + 56.25 = -26 + 56.25 Reorder the terms: 56.25 + 15x + x2 = -26 + 56.25 Combine like terms: -26 + 56.25 = 30.25 56.25 + 15x + x2 = 30.25 Solving 56.25 + 15x + x2 = 30.25 Solving for variable 'x'. Reorder the terms: 56.25 + -30.25 + 15x + x2 = 30.25 + -30.25 Combine like terms: 56.25 + -30.25 = 26 26 + 15x + x2 = 30.25 + -30.25 Combine like terms: 30.25 + -30.25 = 0.00 26 + 15x + x2 = 0.00 Factor a trinomial. (13 + x)(2 + x) = 0.00Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 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 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-13, -2}
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