(16x+-1)(1x+1)=

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


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

Reorder the terms:
(-1 + 16x)(1x + 1) = 0

Reorder the terms:
(-1 + 16x)(1 + 1x) = 0

Multiply (-1 + 16x) * (1 + 1x)
(-1(1 + 1x) + 16x * (1 + 1x)) = 0
((1 * -1 + 1x * -1) + 16x * (1 + 1x)) = 0
((-1 + -1x) + 16x * (1 + 1x)) = 0
(-1 + -1x + (1 * 16x + 1x * 16x)) = 0
(-1 + -1x + (16x + 16x2)) = 0

Combine like terms: -1x + 16x = 15x
(-1 + 15x + 16x2) = 0

Solving
-1 + 15x + 16x2 = 0

Solving for variable 'x'.

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

Subproblem 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 = -1

Subproblem 2

Set the factor '(1 + -16x)' equal to zero and attempt to solve: Simplifying 1 + -16x = 0 Solving 1 + -16x = 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 + -16x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = 0 + -1 -16x = 0 + -1 Combine like terms: 0 + -1 = -1 -16x = -1 Divide each side by '-16'. x = 0.0625 Simplifying x = 0.0625

Solution

x = {-1, 0.0625}

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