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Simplifying (2x2 + -1x) + -1(14x + -7) = 0 Reorder the terms: (-1x + 2x2) + -1(14x + -7) = 0 Remove parenthesis around (-1x + 2x2) -1x + 2x2 + -1(14x + -7) = 0 Reorder the terms: -1x + 2x2 + -1(-7 + 14x) = 0 -1x + 2x2 + (-7 * -1 + 14x * -1) = 0 -1x + 2x2 + (7 + -14x) = 0 Reorder the terms: 7 + -1x + -14x + 2x2 = 0 Combine like terms: -1x + -14x = -15x 7 + -15x + 2x2 = 0 Solving 7 + -15x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(7 + -1x) = 0Subproblem 1
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 = 0.5Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0.5, 7}
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