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Simplifying 3x3 + -2x = 5x Reorder the terms: -2x + 3x3 = 5x Solving -2x + 3x3 = 5x Solving for variable 'x'. Reorder the terms: -2x + -5x + 3x3 = 5x + -5x Combine like terms: -2x + -5x = -7x -7x + 3x3 = 5x + -5x Combine like terms: 5x + -5x = 0 -7x + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 3x2) = 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 + 3x2)' equal to zero and attempt to solve: Simplifying -7 + 3x2 = 0 Solving -7 + 3x2 = 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 + 3x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x2 = 0 + 7 3x2 = 0 + 7 Combine like terms: 0 + 7 = 7 3x2 = 7 Divide each side by '3'. x2 = 2.333333333 Simplifying x2 = 2.333333333 Take the square root of each side: x = {-1.527525232, 1.527525232}Solution
x = {0, -1.527525232, 1.527525232}
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