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Simplifying 0 = 8x2 + 53x + 0 Reorder the terms: 0 = 0 + 53x + 8x2 Remove the zero: 0 = 53x + 8x2 Solving 0 = 53x + 8x2 Solving for variable 'x'. Remove the zero: -53x + -8x2 = 53x + 8x2 + -53x + -8x2 Reorder the terms: -53x + -8x2 = 53x + -53x + 8x2 + -8x2 Combine like terms: 53x + -53x = 0 -53x + -8x2 = 0 + 8x2 + -8x2 -53x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -53x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(53 + 8x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(53 + 8x)' equal to zero and attempt to solve: Simplifying 53 + 8x = 0 Solving 53 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 8x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 8x = 0 + -53 8x = 0 + -53 Combine like terms: 0 + -53 = -53 8x = -53 Divide each side by '8'. x = -6.625 Simplifying x = -6.625Solution
x = {0, -6.625}
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