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Simplifying 8x2 + 39x + 33 = 5 Reorder the terms: 33 + 39x + 8x2 = 5 Solving 33 + 39x + 8x2 = 5 Solving for variable 'x'. Reorder the terms: 33 + -5 + 39x + 8x2 = 5 + -5 Combine like terms: 33 + -5 = 28 28 + 39x + 8x2 = 5 + -5 Combine like terms: 5 + -5 = 0 28 + 39x + 8x2 = 0 Factor a trinomial. (4 + x)(7 + 8x) = 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 '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875Solution
x = {-4, -0.875}
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