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Simplifying -1(3x3 + 2x2) + -1(6x3 + 4x2) = 0 Reorder the terms: -1(2x2 + 3x3) + -1(6x3 + 4x2) = 0 (2x2 * -1 + 3x3 * -1) + -1(6x3 + 4x2) = 0 (-2x2 + -3x3) + -1(6x3 + 4x2) = 0 Reorder the terms: -2x2 + -3x3 + -1(4x2 + 6x3) = 0 -2x2 + -3x3 + (4x2 * -1 + 6x3 * -1) = 0 -2x2 + -3x3 + (-4x2 + -6x3) = 0 Reorder the terms: -2x2 + -4x2 + -3x3 + -6x3 = 0 Combine like terms: -2x2 + -4x2 = -6x2 -6x2 + -3x3 + -6x3 = 0 Combine like terms: -3x3 + -6x3 = -9x3 -6x2 + -9x3 = 0 Solving -6x2 + -9x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x2'. -3x2(2 + 3x) = 0 Ignore the factor -3.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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {0, -0.6666666667}
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