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Simplifying 384 + -400x = -56x2 + 384 Reorder the terms: 384 + -400x = 384 + -56x2 Add '-384' to each side of the equation. 384 + -384 + -400x = 384 + -384 + -56x2 Combine like terms: 384 + -384 = 0 0 + -400x = 384 + -384 + -56x2 -400x = 384 + -384 + -56x2 Combine like terms: 384 + -384 = 0 -400x = 0 + -56x2 -400x = -56x2 Solving -400x = -56x2 Solving for variable 'x'. Combine like terms: -56x2 + 56x2 = 0 -400x + 56x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-50 + 7x) = 0 Ignore the factor 8.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 '(-50 + 7x)' equal to zero and attempt to solve: Simplifying -50 + 7x = 0 Solving -50 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 7x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 7x = 0 + 50 7x = 0 + 50 Combine like terms: 0 + 50 = 50 7x = 50 Divide each side by '7'. x = 7.142857143 Simplifying x = 7.142857143Solution
x = {0, 7.142857143}
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