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Simplifying -4x2 = -7x + -30 Reorder the terms: -4x2 = -30 + -7x Solving -4x2 = -30 + -7x Solving for variable 'x'. Reorder the terms: 30 + 7x + -4x2 = -30 + -7x + 30 + 7x Reorder the terms: 30 + 7x + -4x2 = -30 + 30 + -7x + 7x Combine like terms: -30 + 30 = 0 30 + 7x + -4x2 = 0 + -7x + 7x 30 + 7x + -4x2 = -7x + 7x Combine like terms: -7x + 7x = 0 30 + 7x + -4x2 = 0 Factor a trinomial. (15 + -4x)(2 + x) = 0Subproblem 1
Set the factor '(15 + -4x)' equal to zero and attempt to solve: Simplifying 15 + -4x = 0 Solving 15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {3.75, -2}
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