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Simplifying 3x2 + -4x + 5 = 7x2 + 3x + -6 Reorder the terms: 5 + -4x + 3x2 = 7x2 + 3x + -6 Reorder the terms: 5 + -4x + 3x2 = -6 + 3x + 7x2 Solving 5 + -4x + 3x2 = -6 + 3x + 7x2 Solving for variable 'x'. Reorder the terms: 5 + 6 + -4x + -3x + 3x2 + -7x2 = -6 + 3x + 7x2 + 6 + -3x + -7x2 Combine like terms: 5 + 6 = 11 11 + -4x + -3x + 3x2 + -7x2 = -6 + 3x + 7x2 + 6 + -3x + -7x2 Combine like terms: -4x + -3x = -7x 11 + -7x + 3x2 + -7x2 = -6 + 3x + 7x2 + 6 + -3x + -7x2 Combine like terms: 3x2 + -7x2 = -4x2 11 + -7x + -4x2 = -6 + 3x + 7x2 + 6 + -3x + -7x2 Reorder the terms: 11 + -7x + -4x2 = -6 + 6 + 3x + -3x + 7x2 + -7x2 Combine like terms: -6 + 6 = 0 11 + -7x + -4x2 = 0 + 3x + -3x + 7x2 + -7x2 11 + -7x + -4x2 = 3x + -3x + 7x2 + -7x2 Combine like terms: 3x + -3x = 0 11 + -7x + -4x2 = 0 + 7x2 + -7x2 11 + -7x + -4x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 11 + -7x + -4x2 = 0 Factor a trinomial. (1 + -1x)(11 + 4x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Solution
x = {1, -2.75}
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