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Simplifying -1x * 3 + 7x2 + -16x + 12 = 0 Reorder the terms for easier multiplication: -1 * 3x + 7x2 + -16x + 12 = 0 Multiply -1 * 3 -3x + 7x2 + -16x + 12 = 0 Reorder the terms: 12 + -3x + -16x + 7x2 = 0 Combine like terms: -3x + -16x = -19x 12 + -19x + 7x2 = 0 Solving 12 + -19x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(12 + -7x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(12 + -7x)' equal to zero and attempt to solve: Simplifying 12 + -7x = 0 Solving 12 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 0 + -12 -7x = 0 + -12 Combine like terms: 0 + -12 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714Solution
x = {1, 1.714285714}
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