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Simplifying 14x2 + 2000x + -2014 = 0 Reorder the terms: -2014 + 2000x + 14x2 = 0 Solving -2014 + 2000x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1007 + 1000x + 7x2) = 0 Factor a trinomial. 2((-1007 + -7x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1007 + -7x)' equal to zero and attempt to solve: Simplifying -1007 + -7x = 0 Solving -1007 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1007' to each side of the equation. -1007 + 1007 + -7x = 0 + 1007 Combine like terms: -1007 + 1007 = 0 0 + -7x = 0 + 1007 -7x = 0 + 1007 Combine like terms: 0 + 1007 = 1007 -7x = 1007 Divide each side by '-7'. x = -143.8571429 Simplifying x = -143.8571429Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-143.8571429, 1}
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