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Simplifying 1 = 28x + -195x2 Solving 1 = 28x + -195x2 Solving for variable 'x'. Reorder the terms: 1 + -28x + 195x2 = 28x + -28x + -195x2 + 195x2 Combine like terms: 28x + -28x = 0 1 + -28x + 195x2 = 0 + -195x2 + 195x2 1 + -28x + 195x2 = -195x2 + 195x2 Combine like terms: -195x2 + 195x2 = 0 1 + -28x + 195x2 = 0 Factor a trinomial. (1 + -15x)(1 + -13x) = 0Subproblem 1
Set the factor '(1 + -15x)' equal to zero and attempt to solve: Simplifying 1 + -15x = 0 Solving 1 + -15x = 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 + -15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = 0 + -1 -15x = 0 + -1 Combine like terms: 0 + -1 = -1 -15x = -1 Divide each side by '-15'. x = 0.06666666667 Simplifying x = 0.06666666667Subproblem 2
Set the factor '(1 + -13x)' equal to zero and attempt to solve: Simplifying 1 + -13x = 0 Solving 1 + -13x = 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 + -13x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = 0 + -1 -13x = 0 + -1 Combine like terms: 0 + -1 = -1 -13x = -1 Divide each side by '-13'. x = 0.07692307692 Simplifying x = 0.07692307692Solution
x = {0.06666666667, 0.07692307692}
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