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Simplifying (4x2 + -7x)(-1x) = 0 Reorder the terms: (-7x + 4x2)(-1x) = 0 Remove parenthesis around (-1x) (-7x + 4x2) * -1x = 0 Reorder the terms for easier multiplication: -1x(-7x + 4x2) = 0 (-7x * -1x + 4x2 * -1x) = 0 (7x2 + -4x3) = 0 Solving 7x2 + -4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(7 + -4x) = 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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0, 1.75}
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