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Simplifying 0 = 8x2 + 28x Reorder the terms: 0 = 28x + 8x2 Solving 0 = 28x + 8x2 Solving for variable 'x'. Remove the zero: -28x + -8x2 = 28x + 8x2 + -28x + -8x2 Reorder the terms: -28x + -8x2 = 28x + -28x + 8x2 + -8x2 Combine like terms: 28x + -28x = 0 -28x + -8x2 = 0 + 8x2 + -8x2 -28x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -28x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(7 + 2x) = 0 Ignore the factor -4.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 '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
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