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Simplifying 3x2 + 30x2 + 75x = 0 Reorder the terms: 75x + 3x2 + 30x2 = 0 Combine like terms: 3x2 + 30x2 = 33x2 75x + 33x2 = 0 Solving 75x + 33x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(25 + 11x) = 0 Ignore the factor 3.Subproblem 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 '(25 + 11x)' equal to zero and attempt to solve: Simplifying 25 + 11x = 0 Solving 25 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = 0 + -25 11x = 0 + -25 Combine like terms: 0 + -25 = -25 11x = -25 Divide each side by '11'. x = -2.272727273 Simplifying x = -2.272727273Solution
x = {0, -2.272727273}
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