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Simplifying 245x2 + -119x + -212 = -2 Reorder the terms: -212 + -119x + 245x2 = -2 Solving -212 + -119x + 245x2 = -2 Solving for variable 'x'. Reorder the terms: -212 + 2 + -119x + 245x2 = -2 + 2 Combine like terms: -212 + 2 = -210 -210 + -119x + 245x2 = -2 + 2 Combine like terms: -2 + 2 = 0 -210 + -119x + 245x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-30 + -17x + 35x2) = 0 Factor a trinomial. 7((-5 + -7x)(6 + -5x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-0.7142857143, 1.2}
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