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Simplifying 4x3 = 45x Solving 4x3 = 45x Solving for variable 'x'. Reorder the terms: -45x + 4x3 = 45x + -45x Combine like terms: 45x + -45x = 0 -45x + 4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-45 + 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 '(-45 + 4x2)' equal to zero and attempt to solve: Simplifying -45 + 4x2 = 0 Solving -45 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 4x2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 4x2 = 0 + 45 4x2 = 0 + 45 Combine like terms: 0 + 45 = 45 4x2 = 45 Divide each side by '4'. x2 = 11.25 Simplifying x2 = 11.25 Take the square root of each side: x = {-3.354101966, 3.354101966}Solution
x = {0, -3.354101966, 3.354101966}
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