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Simplifying 11x2 + -18 = 7x2 + 21x Reorder the terms: -18 + 11x2 = 7x2 + 21x Reorder the terms: -18 + 11x2 = 21x + 7x2 Solving -18 + 11x2 = 21x + 7x2 Solving for variable 'x'. Reorder the terms: -18 + -21x + 11x2 + -7x2 = 21x + 7x2 + -21x + -7x2 Combine like terms: 11x2 + -7x2 = 4x2 -18 + -21x + 4x2 = 21x + 7x2 + -21x + -7x2 Reorder the terms: -18 + -21x + 4x2 = 21x + -21x + 7x2 + -7x2 Combine like terms: 21x + -21x = 0 -18 + -21x + 4x2 = 0 + 7x2 + -7x2 -18 + -21x + 4x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -18 + -21x + 4x2 = 0 Factor a trinomial. (-3 + -4x)(6 + -1x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
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 = 6Solution
x = {-0.75, 6}
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