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Simplifying 3x = (-2x * -2x) + -7 Reorder the terms for easier multiplication: 3x = (-2 * -2x * x) + -7 Multiply -2 * -2 3x = (4x * x) + -7 Multiply x * x 3x = (4x2) + -7 Reorder the terms: 3x = -7 + (4x2) Solving 3x = -7 + (4x2) Solving for variable 'x'. Reorder the terms: 7 + 3x + (-4x2) = -7 + (4x2) + 7 + (-4x2) Reorder the terms: 7 + 3x + (-4x2) = -7 + 7 + (4x2) + (-4x2) Combine like terms: -7 + 7 = 0 7 + 3x + (-4x2) = 0 + (4x2) + (-4x2) 7 + 3x + (-4x2) = (4x2) + (-4x2) Combine like terms: (4x2) + (-4x2) = 0 7 + 3x + (-4x2) = 0 Factor a trinomial. (7 + -4x)(1 + x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {1.75, -1}
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