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Simplifying 7x2 + -40x + -12x = 0 Reorder the terms: -40x + -12x + 7x2 = 0 Combine like terms: -40x + -12x = -52x -52x + 7x2 = 0 Solving -52x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-52 + 7x) = 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 '(-52 + 7x)' equal to zero and attempt to solve: Simplifying -52 + 7x = 0 Solving -52 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 7x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 7x = 0 + 52 7x = 0 + 52 Combine like terms: 0 + 52 = 52 7x = 52 Divide each side by '7'. x = 7.428571429 Simplifying x = 7.428571429Solution
x = {0, 7.428571429}
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