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Simplifying (4x3 + -5x2) + (2x3 + 7x2) = 0 Reorder the terms: (-5x2 + 4x3) + (2x3 + 7x2) = 0 Remove parenthesis around (-5x2 + 4x3) -5x2 + 4x3 + (2x3 + 7x2) = 0 Reorder the terms: -5x2 + 4x3 + (7x2 + 2x3) = 0 Remove parenthesis around (7x2 + 2x3) -5x2 + 4x3 + 7x2 + 2x3 = 0 Reorder the terms: -5x2 + 7x2 + 4x3 + 2x3 = 0 Combine like terms: -5x2 + 7x2 = 2x2 2x2 + 4x3 + 2x3 = 0 Combine like terms: 4x3 + 2x3 = 6x3 2x2 + 6x3 = 0 Solving 2x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(1 + 3x) = 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 + 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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