=(2x+5)(5x-2)

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


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

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

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

Multiply (5 + 2x) * (-2 + 5x)
0 = (5(-2 + 5x) + 2x * (-2 + 5x))
0 = ((-2 * 5 + 5x * 5) + 2x * (-2 + 5x))
0 = ((-10 + 25x) + 2x * (-2 + 5x))
0 = (-10 + 25x + (-2 * 2x + 5x * 2x))
0 = (-10 + 25x + (-4x + 10x2))

Combine like terms: 25x + -4x = 21x
0 = (-10 + 21x + 10x2)

Solving
0 = -10 + 21x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -21x + -10x2 = -10 + 21x + 10x2 + 10 + -21x + -10x2

Reorder the terms:
10 + -21x + -10x2 = -10 + 10 + 21x + -21x + 10x2 + -10x2

Combine like terms: -10 + 10 = 0
10 + -21x + -10x2 = 0 + 21x + -21x + 10x2 + -10x2
10 + -21x + -10x2 = 21x + -21x + 10x2 + -10x2

Combine like terms: 21x + -21x = 0
10 + -21x + -10x2 = 0 + 10x2 + -10x2
10 + -21x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
10 + -21x + -10x2 = 0

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


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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

Subproblem 2
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
Solution
x = {0.4, -2.5}

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