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Simplifying -70 = -95x + -15x2 Solving -70 = -95x + -15x2 Solving for variable 'x'. Reorder the terms: -70 + 95x + 15x2 = -95x + 95x + -15x2 + 15x2 Combine like terms: -95x + 95x = 0 -70 + 95x + 15x2 = 0 + -15x2 + 15x2 -70 + 95x + 15x2 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 -70 + 95x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-14 + 19x + 3x2) = 0 Factor a trinomial. 5((-7 + -1x)(2 + -3x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-7, 0.6666666667}
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