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Simplifying 7x2 + -3x + -270 = 0 Reorder the terms: -270 + -3x + 7x2 = 0 Solving -270 + -3x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(45 + -7x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(45 + -7x)' equal to zero and attempt to solve: Simplifying 45 + -7x = 0 Solving 45 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -7x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 0 + -45 -7x = 0 + -45 Combine like terms: 0 + -45 = -45 -7x = -45 Divide each side by '-7'. x = 6.428571429 Simplifying x = 6.428571429Solution
x = {-6, 6.428571429}
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