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Simplifying (6x2 + -5x3) + -1(4x2 + -9x3) = 0 Remove parenthesis around (6x2 + -5x3) 6x2 + -5x3 + -1(4x2 + -9x3) = 0 6x2 + -5x3 + (4x2 * -1 + -9x3 * -1) = 0 6x2 + -5x3 + (-4x2 + 9x3) = 0 Reorder the terms: 6x2 + -4x2 + -5x3 + 9x3 = 0 Combine like terms: 6x2 + -4x2 = 2x2 2x2 + -5x3 + 9x3 = 0 Combine like terms: -5x3 + 9x3 = 4x3 2x2 + 4x3 = 0 Solving 2x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(1 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0, -0.5}
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