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Simplifying (x2 + 2x + 4) + -1(7x2 + -5x + 5) = 0 Reorder the terms: (4 + 2x + x2) + -1(7x2 + -5x + 5) = 0 Remove parenthesis around (4 + 2x + x2) 4 + 2x + x2 + -1(7x2 + -5x + 5) = 0 Reorder the terms: 4 + 2x + x2 + -1(5 + -5x + 7x2) = 0 4 + 2x + x2 + (5 * -1 + -5x * -1 + 7x2 * -1) = 0 4 + 2x + x2 + (-5 + 5x + -7x2) = 0 Reorder the terms: 4 + -5 + 2x + 5x + x2 + -7x2 = 0 Combine like terms: 4 + -5 = -1 -1 + 2x + 5x + x2 + -7x2 = 0 Combine like terms: 2x + 5x = 7x -1 + 7x + x2 + -7x2 = 0 Combine like terms: x2 + -7x2 = -6x2 -1 + 7x + -6x2 = 0 Solving -1 + 7x + -6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + x)(1 + -6x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {1, 0.1666666667}
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