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Simplifying -5x2 + 12 = -7x Reorder the terms: 12 + -5x2 = -7x Solving 12 + -5x2 = -7x Solving for variable 'x'. Reorder the terms: 12 + 7x + -5x2 = -7x + 7x Combine like terms: -7x + 7x = 0 12 + 7x + -5x2 = 0 Factor a trinomial. (12 + -5x)(1 + x) = 0Subproblem 1
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {2.4, -1}
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