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Simplifying 4x2 + 22x + -210 = 0 Reorder the terms: -210 + 22x + 4x2 = 0 Solving -210 + 22x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-105 + 11x + 2x2) = 0 Factor a trinomial. 2((-21 + -2x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + -2x)' equal to zero and attempt to solve: Simplifying -21 + -2x = 0 Solving -21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 0 + 21 -2x = 0 + 21 Combine like terms: 0 + 21 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-10.5, 5}
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