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Simplifying 7x2 + 3x + -6 = 28 Reorder the terms: -6 + 3x + 7x2 = 28 Solving -6 + 3x + 7x2 = 28 Solving for variable 'x'. Reorder the terms: -6 + -28 + 3x + 7x2 = 28 + -28 Combine like terms: -6 + -28 = -34 -34 + 3x + 7x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -34 + 3x + 7x2 = 0 Factor a trinomial. (-17 + -7x)(2 + -1x) = 0Subproblem 1
Set the factor '(-17 + -7x)' equal to zero and attempt to solve: Simplifying -17 + -7x = 0 Solving -17 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = 0 + 17 -7x = 0 + 17 Combine like terms: 0 + 17 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.428571429, 2}
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