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Simplifying 3x * x + 3x + 5x * x + 6x = 0 Multiply x * x 3x2 + 3x + 5x * x + 6x = 0 Multiply x * x 3x2 + 3x + 5x2 + 6x = 0 Reorder the terms: 3x + 6x + 3x2 + 5x2 = 0 Combine like terms: 3x + 6x = 9x 9x + 3x2 + 5x2 = 0 Combine like terms: 3x2 + 5x2 = 8x2 9x + 8x2 = 0 Solving 9x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 8x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {0, -1.125}
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