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Simplifying 2x2 = 130 + -7x Solving 2x2 = 130 + -7x Solving for variable 'x'. Reorder the terms: -130 + 7x + 2x2 = 130 + -7x + -130 + 7x Reorder the terms: -130 + 7x + 2x2 = 130 + -130 + -7x + 7x Combine like terms: 130 + -130 = 0 -130 + 7x + 2x2 = 0 + -7x + 7x -130 + 7x + 2x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -130 + 7x + 2x2 = 0 Factor a trinomial. (-10 + -1x)(13 + -2x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 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 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Solution
x = {-10, 6.5}
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