(2x-5)(2x+5)-4x(x-1)=-1

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Solution for (2x-5)(2x+5)-4x(x-1)=-1 equation:


Simplifying
(2x + -5)(2x + 5) + -4x(x + -1) = -1

Reorder the terms:
(-5 + 2x)(2x + 5) + -4x(x + -1) = -1

Reorder the terms:
(-5 + 2x)(5 + 2x) + -4x(x + -1) = -1

Multiply (-5 + 2x) * (5 + 2x)
(-5(5 + 2x) + 2x * (5 + 2x)) + -4x(x + -1) = -1
((5 * -5 + 2x * -5) + 2x * (5 + 2x)) + -4x(x + -1) = -1
((-25 + -10x) + 2x * (5 + 2x)) + -4x(x + -1) = -1
(-25 + -10x + (5 * 2x + 2x * 2x)) + -4x(x + -1) = -1
(-25 + -10x + (10x + 4x2)) + -4x(x + -1) = -1

Combine like terms: -10x + 10x = 0
(-25 + 0 + 4x2) + -4x(x + -1) = -1
(-25 + 4x2) + -4x(x + -1) = -1

Reorder the terms:
-25 + 4x2 + -4x(-1 + x) = -1
-25 + 4x2 + (-1 * -4x + x * -4x) = -1
-25 + 4x2 + (4x + -4x2) = -1

Reorder the terms:
-25 + 4x + 4x2 + -4x2 = -1

Combine like terms: 4x2 + -4x2 = 0
-25 + 4x + 0 = -1
-25 + 4x = -1

Solving
-25 + 4x = -1

Solving for variable 'x'.

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 = -1 + 25

Combine like terms: -25 + 25 = 0
0 + 4x = -1 + 25
4x = -1 + 25

Combine like terms: -1 + 25 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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