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Simplifying (35x2 + 20x + -2) + -1(2x + 3) = 0 Reorder the terms: (-2 + 20x + 35x2) + -1(2x + 3) = 0 Remove parenthesis around (-2 + 20x + 35x2) -2 + 20x + 35x2 + -1(2x + 3) = 0 Reorder the terms: -2 + 20x + 35x2 + -1(3 + 2x) = 0 -2 + 20x + 35x2 + (3 * -1 + 2x * -1) = 0 -2 + 20x + 35x2 + (-3 + -2x) = 0 Reorder the terms: -2 + -3 + 20x + -2x + 35x2 = 0 Combine like terms: -2 + -3 = -5 -5 + 20x + -2x + 35x2 = 0 Combine like terms: 20x + -2x = 18x -5 + 18x + 35x2 = 0 Solving -5 + 18x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -7x)(1 + -5x) = 0Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-0.7142857143, 0.2}
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