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Simplifying 0 = 30x + -16x2 Solving 0 = 30x + -16x2 Solving for variable 'x'. Remove the zero: -30x + 16x2 = 30x + -16x2 + -30x + 16x2 Reorder the terms: -30x + 16x2 = 30x + -30x + -16x2 + 16x2 Combine like terms: 30x + -30x = 0 -30x + 16x2 = 0 + -16x2 + 16x2 -30x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -30x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-15 + 8x) = 0 Ignore the factor 2.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 '(-15 + 8x)' equal to zero and attempt to solve: Simplifying -15 + 8x = 0 Solving -15 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 0 + 15 8x = 0 + 15 Combine like terms: 0 + 15 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875Solution
x = {0, 1.875}
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