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Simplifying 0 = 5x2 + -64x + -13 Reorder the terms: 0 = -13 + -64x + 5x2 Solving 0 = -13 + -64x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 13 = 13 13 + 64x + -5x2 = -13 + -64x + 5x2 + 13 + 64x + -5x2 Reorder the terms: 13 + 64x + -5x2 = -13 + 13 + -64x + 64x + 5x2 + -5x2 Combine like terms: -13 + 13 = 0 13 + 64x + -5x2 = 0 + -64x + 64x + 5x2 + -5x2 13 + 64x + -5x2 = -64x + 64x + 5x2 + -5x2 Combine like terms: -64x + 64x = 0 13 + 64x + -5x2 = 0 + 5x2 + -5x2 13 + 64x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 13 + 64x + -5x2 = 0 Factor a trinomial. (13 + -1x)(1 + 5x) = 0Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 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 = {13, -0.2}
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