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Simplifying 7x2 + 18x + 8 = (7x + 4) Reorder the terms: 8 + 18x + 7x2 = (7x + 4) Reorder the terms: 8 + 18x + 7x2 = (4 + 7x) Remove parenthesis around (4 + 7x) 8 + 18x + 7x2 = 4 + 7x Solving 8 + 18x + 7x2 = 4 + 7x Solving for variable 'x'. Reorder the terms: 8 + -4 + 18x + -7x + 7x2 = 4 + 7x + -4 + -7x Combine like terms: 8 + -4 = 4 4 + 18x + -7x + 7x2 = 4 + 7x + -4 + -7x Combine like terms: 18x + -7x = 11x 4 + 11x + 7x2 = 4 + 7x + -4 + -7x Reorder the terms: 4 + 11x + 7x2 = 4 + -4 + 7x + -7x Combine like terms: 4 + -4 = 0 4 + 11x + 7x2 = 0 + 7x + -7x 4 + 11x + 7x2 = 7x + -7x Combine like terms: 7x + -7x = 0 4 + 11x + 7x2 = 0 Factor a trinomial. (1 + x)(4 + 7x) = 0Subproblem 1
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 = -1Subproblem 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 = {-1, -0.5714285714}
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