(4x-25)*(2x+5)=

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Solution for (4x-25)*(2x+5)= equation: 


Simplifying
(4x + -25)(2x + 5) = 0

Reorder the terms:
(-25 + 4x)(2x + 5) = 0

Reorder the terms:
(-25 + 4x)(5 + 2x) = 0

Multiply (-25 + 4x) * (5 + 2x)
(-25(5 + 2x) + 4x * (5 + 2x)) = 0
((5 * -25 + 2x * -25) + 4x * (5 + 2x)) = 0
((-125 + -50x) + 4x * (5 + 2x)) = 0
(-125 + -50x + (5 * 4x + 2x * 4x)) = 0
(-125 + -50x + (20x + 8x2)) = 0

Combine like terms: -50x + 20x = -30x
(-125 + -30x + 8x2) = 0

Solving
-125 + -30x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(25 + -4x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(25 + -4x)' equal to zero and attempt to solve:

Simplifying
25 + -4x = 0

Solving
25 + -4x = 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 + -4x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = 0 + -25
-4x = 0 + -25

Combine like terms: 0 + -25 = -25
-4x = -25

Divide each side by '-4'.
x = 6.25

Simplifying
x = 6.25
Solution
x = {-2.5, 6.25}

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