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Simplifying 7x2 + 35x = 5x + -8 Reorder the terms: 35x + 7x2 = 5x + -8 Reorder the terms: 35x + 7x2 = -8 + 5x Solving 35x + 7x2 = -8 + 5x Solving for variable 'x'. Reorder the terms: 8 + 35x + -5x + 7x2 = -8 + 5x + 8 + -5x Combine like terms: 35x + -5x = 30x 8 + 30x + 7x2 = -8 + 5x + 8 + -5x Reorder the terms: 8 + 30x + 7x2 = -8 + 8 + 5x + -5x Combine like terms: -8 + 8 = 0 8 + 30x + 7x2 = 0 + 5x + -5x 8 + 30x + 7x2 = 5x + -5x Combine like terms: 5x + -5x = 0 8 + 30x + 7x2 = 0 Factor a trinomial. (4 + x)(2 + 7x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {-4, -0.2857142857}
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