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Simplifying 49 = 6x2 + -7x Reorder the terms: 49 = -7x + 6x2 Solving 49 = -7x + 6x2 Solving for variable 'x'. Reorder the terms: 49 + 7x + -6x2 = -7x + 7x + 6x2 + -6x2 Combine like terms: -7x + 7x = 0 49 + 7x + -6x2 = 0 + 6x2 + -6x2 49 + 7x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 49 + 7x + -6x2 = 0 Factor a trinomial. (7 + -2x)(7 + 3x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {3.5, -2.333333333}
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