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Simplifying 0 = -5x2 + 38x Reorder the terms: 0 = 38x + -5x2 Solving 0 = 38x + -5x2 Solving for variable 'x'. Remove the zero: -38x + 5x2 = 38x + -5x2 + -38x + 5x2 Reorder the terms: -38x + 5x2 = 38x + -38x + -5x2 + 5x2 Combine like terms: 38x + -38x = 0 -38x + 5x2 = 0 + -5x2 + 5x2 -38x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -38x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-38 + 5x) = 0Subproblem 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 '(-38 + 5x)' equal to zero and attempt to solve: Simplifying -38 + 5x = 0 Solving -38 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 5x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 0 + 38 5x = 0 + 38 Combine like terms: 0 + 38 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6Solution
x = {0, 7.6}
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