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Simplifying 28 = 5x + 3x(x + 4) Reorder the terms: 28 = 5x + 3x(4 + x) 28 = 5x + (4 * 3x + x * 3x) 28 = 5x + (12x + 3x2) Combine like terms: 5x + 12x = 17x 28 = 17x + 3x2 Solving 28 = 17x + 3x2 Solving for variable 'x'. Reorder the terms: 28 + -17x + -3x2 = 17x + -17x + 3x2 + -3x2 Combine like terms: 17x + -17x = 0 28 + -17x + -3x2 = 0 + 3x2 + -3x2 28 + -17x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 28 + -17x + -3x2 = 0 Factor a trinomial. (4 + -3x)(7 + x) = 0Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {1.333333333, -7}
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