(2x-25)(16x+13)=

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Solution for (2x-25)(16x+13)= equation: 


Simplifying
(2x + -25)(16x + 13) = 0

Reorder the terms:
(-25 + 2x)(16x + 13) = 0

Reorder the terms:
(-25 + 2x)(13 + 16x) = 0

Multiply (-25 + 2x) * (13 + 16x)
(-25(13 + 16x) + 2x * (13 + 16x)) = 0
((13 * -25 + 16x * -25) + 2x * (13 + 16x)) = 0
((-325 + -400x) + 2x * (13 + 16x)) = 0
(-325 + -400x + (13 * 2x + 16x * 2x)) = 0
(-325 + -400x + (26x + 32x2)) = 0

Combine like terms: -400x + 26x = -374x
(-325 + -374x + 32x2) = 0

Solving
-325 + -374x + 32x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -16x)(25 + -2x) = 0


Subproblem 1
Set the factor '(-13 + -16x)' equal to zero and attempt to solve:

Simplifying
-13 + -16x = 0

Solving
-13 + -16x = 0

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + -16x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -16x = 0 + 13
-16x = 0 + 13

Combine like terms: 0 + 13 = 13
-16x = 13

Divide each side by '-16'.
x = -0.8125

Simplifying
x = -0.8125

Subproblem 2
Set the factor '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5
Solution
x = {-0.8125, 12.5}

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