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Simplifying 14X2 + 21X + -35 = 0 Reorder the terms: -35 + 21X + 14X2 = 0 Solving -35 + 21X + 14X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '7'. 7(-5 + 3X + 2X2) = 0 Factor a trinomial. 7((-5 + -2X)(1 + -1X)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-5 + -2X)' equal to zero and attempt to solve: Simplifying -5 + -2X = 0 Solving -5 + -2X = 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 + -2X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2X = 0 + 5 -2X = 0 + 5 Combine like terms: 0 + 5 = 5 -2X = 5 Divide each side by '-2'. X = -2.5 Simplifying X = -2.5Subproblem 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 = {-2.5, 1}
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