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Simplifying (2x2 + -5x + -7) + (7x2 + 3) = 0 Reorder the terms: (-7 + -5x + 2x2) + (7x2 + 3) = 0 Remove parenthesis around (-7 + -5x + 2x2) -7 + -5x + 2x2 + (7x2 + 3) = 0 Reorder the terms: -7 + -5x + 2x2 + (3 + 7x2) = 0 Remove parenthesis around (3 + 7x2) -7 + -5x + 2x2 + 3 + 7x2 = 0 Reorder the terms: -7 + 3 + -5x + 2x2 + 7x2 = 0 Combine like terms: -7 + 3 = -4 -4 + -5x + 2x2 + 7x2 = 0 Combine like terms: 2x2 + 7x2 = 9x2 -4 + -5x + 9x2 = 0 Solving -4 + -5x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -9x)(1 + -1x) = 0Subproblem 1
Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444Subproblem 2
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 = 1Solution
x = {-0.4444444444, 1}
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