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Simplifying 18 = 4x2 + 21x Reorder the terms: 18 = 21x + 4x2 Solving 18 = 21x + 4x2 Solving for variable 'x'. Reorder the terms: 18 + -21x + -4x2 = 21x + -21x + 4x2 + -4x2 Combine like terms: 21x + -21x = 0 18 + -21x + -4x2 = 0 + 4x2 + -4x2 18 + -21x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 18 + -21x + -4x2 = 0 Factor a trinomial. (3 + -4x)(6 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0.75, -6}
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