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Simplifying 7x(6 + -1x) + 4(x + -6) = 0 (6 * 7x + -1x * 7x) + 4(x + -6) = 0 (42x + -7x2) + 4(x + -6) = 0 Reorder the terms: 42x + -7x2 + 4(-6 + x) = 0 42x + -7x2 + (-6 * 4 + x * 4) = 0 42x + -7x2 + (-24 + 4x) = 0 Reorder the terms: -24 + 42x + 4x + -7x2 = 0 Combine like terms: 42x + 4x = 46x -24 + 46x + -7x2 = 0 Solving -24 + 46x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + x)(4 + -7x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {6, 0.5714285714}
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