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Simplifying 7 = x(3 + 10x) + -6x 7 = (3 * x + 10x * x) + -6x 7 = (3x + 10x2) + -6x Reorder the terms: 7 = 3x + -6x + 10x2 Combine like terms: 3x + -6x = -3x 7 = -3x + 10x2 Solving 7 = -3x + 10x2 Solving for variable 'x'. Reorder the terms: 7 + 3x + -10x2 = -3x + 3x + 10x2 + -10x2 Combine like terms: -3x + 3x = 0 7 + 3x + -10x2 = 0 + 10x2 + -10x2 7 + 3x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 7 + 3x + -10x2 = 0 Factor a trinomial. (1 + -1x)(7 + 10x) = 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 '(7 + 10x)' equal to zero and attempt to solve: Simplifying 7 + 10x = 0 Solving 7 + 10x = 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 + 10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 0 + -7 10x = 0 + -7 Combine like terms: 0 + -7 = -7 10x = -7 Divide each side by '10'. x = -0.7 Simplifying x = -0.7Solution
x = {1, -0.7}
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