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Simplifying 8x2 + -5x3 + -2x2 + -8x3 = 0 Reorder the terms: 8x2 + -2x2 + -5x3 + -8x3 = 0 Combine like terms: 8x2 + -2x2 = 6x2 6x2 + -5x3 + -8x3 = 0 Combine like terms: -5x3 + -8x3 = -13x3 6x2 + -13x3 = 0 Solving 6x2 + -13x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(6 + -13x) = 0Subproblem 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 '(6 + -13x)' equal to zero and attempt to solve: Simplifying 6 + -13x = 0 Solving 6 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -13x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 0 + -6 -13x = 0 + -6 Combine like terms: 0 + -6 = -6 -13x = -6 Divide each side by '-13'. x = 0.4615384615 Simplifying x = 0.4615384615Solution
x = {0, 0.4615384615}
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