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Simplifying 9x2 + 4x + -2x + 6x2 = 0 Reorder the terms: 4x + -2x + 9x2 + 6x2 = 0 Combine like terms: 4x + -2x = 2x 2x + 9x2 + 6x2 = 0 Combine like terms: 9x2 + 6x2 = 15x2 2x + 15x2 = 0 Solving 2x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + 15x) = 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 '(2 + 15x)' equal to zero and attempt to solve: Simplifying 2 + 15x = 0 Solving 2 + 15x = 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 + 15x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 0 + -2 15x = 0 + -2 Combine like terms: 0 + -2 = -2 15x = -2 Divide each side by '15'. x = -0.1333333333 Simplifying x = -0.1333333333Solution
x = {0, -0.1333333333}
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