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Simplifying 4x2 = -3x + 7 Reorder the terms: 4x2 = 7 + -3x Solving 4x2 = 7 + -3x Solving for variable 'x'. Reorder the terms: -7 + 3x + 4x2 = 7 + -3x + -7 + 3x Reorder the terms: -7 + 3x + 4x2 = 7 + -7 + -3x + 3x Combine like terms: 7 + -7 = 0 -7 + 3x + 4x2 = 0 + -3x + 3x -7 + 3x + 4x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 3x + 4x2 = 0 Factor a trinomial. (-7 + -4x)(1 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-1.75, 1}
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