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Simplifying x2 + -4x + 7 + 5x2 + -3x + -6 = 0 Reorder the terms: 7 + -6 + -4x + -3x + x2 + 5x2 = 0 Combine like terms: 7 + -6 = 1 1 + -4x + -3x + x2 + 5x2 = 0 Combine like terms: -4x + -3x = -7x 1 + -7x + x2 + 5x2 = 0 Combine like terms: x2 + 5x2 = 6x2 1 + -7x + 6x2 = 0 Solving 1 + -7x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -6x)(1 + -1x) = 0Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.1666666667, 1}
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