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Simplifying (x2 + 2x + 1) + (4x2 + x + -3) = 0 Reorder the terms: (1 + 2x + x2) + (4x2 + x + -3) = 0 Remove parenthesis around (1 + 2x + x2) 1 + 2x + x2 + (4x2 + x + -3) = 0 Reorder the terms: 1 + 2x + x2 + (-3 + x + 4x2) = 0 Remove parenthesis around (-3 + x + 4x2) 1 + 2x + x2 + -3 + x + 4x2 = 0 Reorder the terms: 1 + -3 + 2x + x + x2 + 4x2 = 0 Combine like terms: 1 + -3 = -2 -2 + 2x + x + x2 + 4x2 = 0 Combine like terms: 2x + x = 3x -2 + 3x + x2 + 4x2 = 0 Combine like terms: x2 + 4x2 = 5x2 -2 + 3x + 5x2 = 0 Solving -2 + 3x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(2 + -5x) = 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1, 0.4}
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