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Simplifying x(7x2 + -4x) = 0 Reorder the terms: x(-4x + 7x2) = 0 (-4x * x + 7x2 * x) = 0 (-4x2 + 7x3) = 0 Solving -4x2 + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-4 + 7x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-4 + 7x)' equal to zero and attempt to solve: Simplifying -4 + 7x = 0 Solving -4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {0, 0.5714285714}
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