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Simplifying (6x2 + -1x + 1) + -1(-4 + 2x2 + 8x) = 0 Reorder the terms: (1 + -1x + 6x2) + -1(-4 + 2x2 + 8x) = 0 Remove parenthesis around (1 + -1x + 6x2) 1 + -1x + 6x2 + -1(-4 + 2x2 + 8x) = 0 Reorder the terms: 1 + -1x + 6x2 + -1(-4 + 8x + 2x2) = 0 1 + -1x + 6x2 + (-4 * -1 + 8x * -1 + 2x2 * -1) = 0 1 + -1x + 6x2 + (4 + -8x + -2x2) = 0 Reorder the terms: 1 + 4 + -1x + -8x + 6x2 + -2x2 = 0 Combine like terms: 1 + 4 = 5 5 + -1x + -8x + 6x2 + -2x2 = 0 Combine like terms: -1x + -8x = -9x 5 + -9x + 6x2 + -2x2 = 0 Combine like terms: 6x2 + -2x2 = 4x2 5 + -9x + 4x2 = 0 Solving 5 + -9x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(5 + -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 '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {1, 1.25}
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