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Simplifying 7x2 = -60x + -32 Reorder the terms: 7x2 = -32 + -60x Solving 7x2 = -32 + -60x Solving for variable 'x'. Reorder the terms: 32 + 60x + 7x2 = -32 + -60x + 32 + 60x Reorder the terms: 32 + 60x + 7x2 = -32 + 32 + -60x + 60x Combine like terms: -32 + 32 = 0 32 + 60x + 7x2 = 0 + -60x + 60x 32 + 60x + 7x2 = -60x + 60x Combine like terms: -60x + 60x = 0 32 + 60x + 7x2 = 0 Factor a trinomial. (8 + x)(4 + 7x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Solution
x = {-8, -0.5714285714}
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