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Simplifying 4x3 + -3x2 + 6x3 + x2 = 0 Reorder the terms: -3x2 + x2 + 4x3 + 6x3 = 0 Combine like terms: -3x2 + x2 = -2x2 -2x2 + 4x3 + 6x3 = 0 Combine like terms: 4x3 + 6x3 = 10x3 -2x2 + 10x3 = 0 Solving -2x2 + 10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-1 + 5x) = 0 Ignore the factor 2.Subproblem 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 '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, 0.2}
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