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Simplifying (-20x2 + 30x + 50) + -1(50x2 + 20x + -30) = 0 Reorder the terms: (50 + 30x + -20x2) + -1(50x2 + 20x + -30) = 0 Remove parenthesis around (50 + 30x + -20x2) 50 + 30x + -20x2 + -1(50x2 + 20x + -30) = 0 Reorder the terms: 50 + 30x + -20x2 + -1(-30 + 20x + 50x2) = 0 50 + 30x + -20x2 + (-30 * -1 + 20x * -1 + 50x2 * -1) = 0 50 + 30x + -20x2 + (30 + -20x + -50x2) = 0 Reorder the terms: 50 + 30 + 30x + -20x + -20x2 + -50x2 = 0 Combine like terms: 50 + 30 = 80 80 + 30x + -20x + -20x2 + -50x2 = 0 Combine like terms: 30x + -20x = 10x 80 + 10x + -20x2 + -50x2 = 0 Combine like terms: -20x2 + -50x2 = -70x2 80 + 10x + -70x2 = 0 Solving 80 + 10x + -70x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(8 + x + -7x2) = 0 Factor a trinomial. 10((8 + -7x)(1 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Subproblem 2
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 = -1Solution
x = {1.142857143, -1}
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