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Simplifying 140x2 + -151x + -70 = 0 Reorder the terms: -70 + -151x + 140x2 = 0 Solving -70 + -151x + 140x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -20x)(10 + -7x) = 0Subproblem 1
Set the factor '(-7 + -20x)' equal to zero and attempt to solve: Simplifying -7 + -20x = 0 Solving -7 + -20x = 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 + -20x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -20x = 0 + 7 -20x = 0 + 7 Combine like terms: 0 + 7 = 7 -20x = 7 Divide each side by '-20'. x = -0.35 Simplifying x = -0.35Subproblem 2
Set the factor '(10 + -7x)' equal to zero and attempt to solve: Simplifying 10 + -7x = 0 Solving 10 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 0 + -10 -7x = 0 + -10 Combine like terms: 0 + -10 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429Solution
x = {-0.35, 1.428571429}
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