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Simplifying (4x2 + -6x3) + -7x2 + -3x3 = 0 Remove parenthesis around (4x2 + -6x3) 4x2 + -6x3 + -7x2 + -3x3 = 0 Reorder the terms: 4x2 + -7x2 + -6x3 + -3x3 = 0 Combine like terms: 4x2 + -7x2 = -3x2 -3x2 + -6x3 + -3x3 = 0 Combine like terms: -6x3 + -3x3 = -9x3 -3x2 + -9x3 = 0 Solving -3x2 + -9x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x2'. -3x2(1 + 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 '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0, -0.3333333333}
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