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Simplifying 7x2 + 6x + 8 = 2x2 + -8x Reorder the terms: 8 + 6x + 7x2 = 2x2 + -8x Reorder the terms: 8 + 6x + 7x2 = -8x + 2x2 Solving 8 + 6x + 7x2 = -8x + 2x2 Solving for variable 'x'. Reorder the terms: 8 + 6x + 8x + 7x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: 6x + 8x = 14x 8 + 14x + 7x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 8 + 14x + 5x2 = -8x + 2x2 + 8x + -2x2 Reorder the terms: 8 + 14x + 5x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 8 + 14x + 5x2 = 0 + 2x2 + -2x2 8 + 14x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8 + 14x + 5x2 = 0 Factor a trinomial. (2 + x)(4 + 5x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-2, -0.8}
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