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Simplifying 8x2 + 30x = 2x Reorder the terms: 30x + 8x2 = 2x Solving 30x + 8x2 = 2x Solving for variable 'x'. Reorder the terms: 30x + -2x + 8x2 = 2x + -2x Combine like terms: 30x + -2x = 28x 28x + 8x2 = 2x + -2x Combine like terms: 2x + -2x = 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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