(-2+-1x)(16+-7x)=0

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Solution for (-2+-1x)(16+-7x)=0 equation:


Simplifying
(-2 + -1x)(16 + -7x) = 0

Multiply (-2 + -1x) * (16 + -7x)
(-2(16 + -7x) + -1x * (16 + -7x)) = 0
((16 * -2 + -7x * -2) + -1x * (16 + -7x)) = 0
((-32 + 14x) + -1x * (16 + -7x)) = 0
(-32 + 14x + (16 * -1x + -7x * -1x)) = 0
(-32 + 14x + (-16x + 7x2)) = 0

Combine like terms: 14x + -16x = -2x
(-32 + -2x + 7x2) = 0

Solving
-32 + -2x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(16 + -7x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(16 + -7x)' equal to zero and attempt to solve: Simplifying 16 + -7x = 0 Solving 16 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = 0 + -16 -7x = 0 + -16 Combine like terms: 0 + -16 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286

Solution

x = {-2, 2.285714286}

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