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Simplifying (-7x + 4)(x + 2) = 0 Reorder the terms: (4 + -7x)(x + 2) = 0 Reorder the terms: (4 + -7x)(2 + x) = 0 Multiply (4 + -7x) * (2 + x) (4(2 + x) + -7x * (2 + x)) = 0 ((2 * 4 + x * 4) + -7x * (2 + x)) = 0 ((8 + 4x) + -7x * (2 + x)) = 0 (8 + 4x + (2 * -7x + x * -7x)) = 0 (8 + 4x + (-14x + -7x2)) = 0 Combine like terms: 4x + -14x = -10x (8 + -10x + -7x2) = 0 Solving 8 + -10x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -7x)(2 + x) = 0Subproblem 1
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 = 0.5714285714Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0.5714285714, -2}
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