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Simplifying (6x2 + -5x3) + -1(2x2 + -8x3) = 0 Remove parenthesis around (6x2 + -5x3) 6x2 + -5x3 + -1(2x2 + -8x3) = 0 6x2 + -5x3 + (2x2 * -1 + -8x3 * -1) = 0 6x2 + -5x3 + (-2x2 + 8x3) = 0 Reorder the terms: 6x2 + -2x2 + -5x3 + 8x3 = 0 Combine like terms: 6x2 + -2x2 = 4x2 4x2 + -5x3 + 8x3 = 0 Combine like terms: -5x3 + 8x3 = 3x3 4x2 + 3x3 = 0 Solving 4x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(4 + 3x) = 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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {0, -1.333333333}
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