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Simplifying 6x2 + -14x + -1900 = 0 Reorder the terms: -1900 + -14x + 6x2 = 0 Solving -1900 + -14x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-950 + -7x + 3x2) = 0 Factor a trinomial. 2((-50 + -3x)(19 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + -3x)' equal to zero and attempt to solve: Simplifying -50 + -3x = 0 Solving -50 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -3x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -3x = 0 + 50 -3x = 0 + 50 Combine like terms: 0 + 50 = 50 -3x = 50 Divide each side by '-3'. x = -16.66666667 Simplifying x = -16.66666667Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {-16.66666667, 19}
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