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Simplifying x(4x2 + -7) = 0 Reorder the terms: x(-7 + 4x2) = 0 (-7 * x + 4x2 * x) = 0 (-7x + 4x3) = 0 Solving -7x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 4x2) = 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 '(-7 + 4x2)' equal to zero and attempt to solve: Simplifying -7 + 4x2 = 0 Solving -7 + 4x2 = 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 + 4x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x2 = 0 + 7 4x2 = 0 + 7 Combine like terms: 0 + 7 = 7 4x2 = 7 Divide each side by '4'. x2 = 1.75 Simplifying x2 = 1.75 Take the square root of each side: x = {-1.322875656, 1.322875656}Solution
x = {0, -1.322875656, 1.322875656}
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