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Simplifying (2x + -3 + 7x2) + -1(3 + -9x2 + -2x) = 0 Reorder the terms: (-3 + 2x + 7x2) + -1(3 + -9x2 + -2x) = 0 Remove parenthesis around (-3 + 2x + 7x2) -3 + 2x + 7x2 + -1(3 + -9x2 + -2x) = 0 Reorder the terms: -3 + 2x + 7x2 + -1(3 + -2x + -9x2) = 0 -3 + 2x + 7x2 + (3 * -1 + -2x * -1 + -9x2 * -1) = 0 -3 + 2x + 7x2 + (-3 + 2x + 9x2) = 0 Reorder the terms: -3 + -3 + 2x + 2x + 7x2 + 9x2 = 0 Combine like terms: -3 + -3 = -6 -6 + 2x + 2x + 7x2 + 9x2 = 0 Combine like terms: 2x + 2x = 4x -6 + 4x + 7x2 + 9x2 = 0 Combine like terms: 7x2 + 9x2 = 16x2 -6 + 4x + 16x2 = 0 Solving -6 + 4x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 2x + 8x2) = 0 Factor a trinomial. 2((-3 + -4x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.75, 0.5}
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