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Simplifying 10 = (4x2) + -3x + 9 Reorder the terms: 10 = 9 + -3x + (4x2) Solving 10 = 9 + -3x + (4x2) Solving for variable 'x'. Combine like terms: 10 + -9 = 1 1 + 3x + (-4x2) = 9 + -3x + (4x2) + -9 + 3x + (-4x2) Reorder the terms: 1 + 3x + (-4x2) = 9 + -9 + -3x + 3x + (4x2) + (-4x2) Combine like terms: 9 + -9 = 0 1 + 3x + (-4x2) = 0 + -3x + 3x + (4x2) + (-4x2) 1 + 3x + (-4x2) = -3x + 3x + (4x2) + (-4x2) Combine like terms: -3x + 3x = 0 1 + 3x + (-4x2) = 0 + (4x2) + (-4x2) 1 + 3x + (-4x2) = (4x2) + (-4x2) Combine like terms: (4x2) + (-4x2) = 0 1 + 3x + (-4x2) = 0 Factor a trinomial. (1 + -1x)(1 + 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 '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {1, -0.25}
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