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Simplifying (5x2 + 4) + -1(3x + 7) + (2x2 + -1) = 0 Reorder the terms: (4 + 5x2) + -1(3x + 7) + (2x2 + -1) = 0 Remove parenthesis around (4 + 5x2) 4 + 5x2 + -1(3x + 7) + (2x2 + -1) = 0 Reorder the terms: 4 + 5x2 + -1(7 + 3x) + (2x2 + -1) = 0 4 + 5x2 + (7 * -1 + 3x * -1) + (2x2 + -1) = 0 4 + 5x2 + (-7 + -3x) + (2x2 + -1) = 0 Reorder the terms: 4 + 5x2 + -7 + -3x + (-1 + 2x2) = 0 Remove parenthesis around (-1 + 2x2) 4 + 5x2 + -7 + -3x + -1 + 2x2 = 0 Reorder the terms: 4 + -7 + -1 + -3x + 5x2 + 2x2 = 0 Combine like terms: 4 + -7 = -3 -3 + -1 + -3x + 5x2 + 2x2 = 0 Combine like terms: -3 + -1 = -4 -4 + -3x + 5x2 + 2x2 = 0 Combine like terms: 5x2 + 2x2 = 7x2 -4 + -3x + 7x2 = 0 Solving -4 + -3x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 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 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 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 = {-0.5714285714, 1}
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