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Simplifying 7X(-2 + 4X) + -5X = 0 (-2 * 7X + 4X * 7X) + -5X = 0 (-14X + 28X2) + -5X = 0 Reorder the terms: -14X + -5X + 28X2 = 0 Combine like terms: -14X + -5X = -19X -19X + 28X2 = 0 Solving -19X + 28X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-19 + 28X) = 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 '(-19 + 28X)' equal to zero and attempt to solve: Simplifying -19 + 28X = 0 Solving -19 + 28X = 0 Move all terms containing X to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 28X = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 28X = 0 + 19 28X = 0 + 19 Combine like terms: 0 + 19 = 19 28X = 19 Divide each side by '28'. X = 0.6785714286 Simplifying X = 0.6785714286Solution
X = {0, 0.6785714286}
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