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Simplifying 0 = 8x2 + 53x + -21 Reorder the terms: 0 = -21 + 53x + 8x2 Solving 0 = -21 + 53x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 21 = 21 21 + -53x + -8x2 = -21 + 53x + 8x2 + 21 + -53x + -8x2 Reorder the terms: 21 + -53x + -8x2 = -21 + 21 + 53x + -53x + 8x2 + -8x2 Combine like terms: -21 + 21 = 0 21 + -53x + -8x2 = 0 + 53x + -53x + 8x2 + -8x2 21 + -53x + -8x2 = 53x + -53x + 8x2 + -8x2 Combine like terms: 53x + -53x = 0 21 + -53x + -8x2 = 0 + 8x2 + -8x2 21 + -53x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 21 + -53x + -8x2 = 0 Factor a trinomial. (3 + -8x)(7 + x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0.375, -7}
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