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Simplifying 7x2 + 9x + -8 = 4 + -8x Reorder the terms: -8 + 9x + 7x2 = 4 + -8x Solving -8 + 9x + 7x2 = 4 + -8x Solving for variable 'x'. Reorder the terms: -8 + -4 + 9x + 8x + 7x2 = 4 + -8x + -4 + 8x Combine like terms: -8 + -4 = -12 -12 + 9x + 8x + 7x2 = 4 + -8x + -4 + 8x Combine like terms: 9x + 8x = 17x -12 + 17x + 7x2 = 4 + -8x + -4 + 8x Reorder the terms: -12 + 17x + 7x2 = 4 + -4 + -8x + 8x Combine like terms: 4 + -4 = 0 -12 + 17x + 7x2 = 0 + -8x + 8x -12 + 17x + 7x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 17x + 7x2 = 0 Factor a trinomial. (-3 + -1x)(4 + -7x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 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 = {-3, 0.5714285714}
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