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Simplifying x2 + 4x2 + -32x = 0 Reorder the terms: -32x + x2 + 4x2 = 0 Combine like terms: x2 + 4x2 = 5x2 -32x + 5x2 = 0 Solving -32x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-32 + 5x) = 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 '(-32 + 5x)' equal to zero and attempt to solve: Simplifying -32 + 5x = 0 Solving -32 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 5x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 0 + 32 5x = 0 + 32 Combine like terms: 0 + 32 = 32 5x = 32 Divide each side by '5'. x = 6.4 Simplifying x = 6.4Solution
x = {0, 6.4}
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