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Simplifying 5x2 + 15 = 13x + 7 Reorder the terms: 15 + 5x2 = 13x + 7 Reorder the terms: 15 + 5x2 = 7 + 13x Solving 15 + 5x2 = 7 + 13x Solving for variable 'x'. Reorder the terms: 15 + -7 + -13x + 5x2 = 7 + 13x + -7 + -13x Combine like terms: 15 + -7 = 8 8 + -13x + 5x2 = 7 + 13x + -7 + -13x Reorder the terms: 8 + -13x + 5x2 = 7 + -7 + 13x + -13x Combine like terms: 7 + -7 = 0 8 + -13x + 5x2 = 0 + 13x + -13x 8 + -13x + 5x2 = 13x + -13x Combine like terms: 13x + -13x = 0 8 + -13x + 5x2 = 0 Factor a trinomial. (1 + -1x)(8 + -5x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {1, 1.6}
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