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Simplifying 6x2 + -21x3 + -12x2 = 0 Reorder the terms: 6x2 + -12x2 + -21x3 = 0 Combine like terms: 6x2 + -12x2 = -6x2 -6x2 + -21x3 = 0 Solving -6x2 + -21x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x2'. -3x2(2 + 7x) = 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 '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {0, -0.2857142857}
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