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Simplifying 7x + 3x2 + -40 = 26 Reorder the terms: -40 + 7x + 3x2 = 26 Solving -40 + 7x + 3x2 = 26 Solving for variable 'x'. Reorder the terms: -40 + -26 + 7x + 3x2 = 26 + -26 Combine like terms: -40 + -26 = -66 -66 + 7x + 3x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -66 + 7x + 3x2 = 0 Factor a trinomial. (-6 + -1x)(11 + -3x) = 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 '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667Solution
x = {-6, 3.666666667}
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