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Simplifying (9x3 + 4x2) + (3x3 + 5x2) = 0 Reorder the terms: (4x2 + 9x3) + (3x3 + 5x2) = 0 Remove parenthesis around (4x2 + 9x3) 4x2 + 9x3 + (3x3 + 5x2) = 0 Reorder the terms: 4x2 + 9x3 + (5x2 + 3x3) = 0 Remove parenthesis around (5x2 + 3x3) 4x2 + 9x3 + 5x2 + 3x3 = 0 Reorder the terms: 4x2 + 5x2 + 9x3 + 3x3 = 0 Combine like terms: 4x2 + 5x2 = 9x2 9x2 + 9x3 + 3x3 = 0 Combine like terms: 9x3 + 3x3 = 12x3 9x2 + 12x3 = 0 Solving 9x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(3 + 4x) = 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0, -0.75}
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