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

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


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

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

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

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

Combine like terms: -2x + 2x = 0
(-4 + 0 + x2) + (x + 5)(x + -5) = 0
(-4 + x2) + (x + 5)(x + -5) = 0

Reorder the terms:
-4 + x2 + (5 + x)(x + -5) = 0

Reorder the terms:
-4 + x2 + (5 + x)(-5 + x) = 0

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

Combine like terms: 5x + -5x = 0
-4 + x2 + (-25 + 0 + x2) = 0
-4 + x2 + (-25 + x2) = 0

Reorder the terms:
-4 + -25 + x2 + x2 = 0

Combine like terms: -4 + -25 = -29
-29 + x2 + x2 = 0

Combine like terms: x2 + x2 = 2x2
-29 + 2x2 = 0

Solving
-29 + 2x2 = 0

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 2x2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 2x2 = 0 + 29
2x2 = 0 + 29

Combine like terms: 0 + 29 = 29
2x2 = 29

Divide each side by '2'.
x2 = 14.5

Simplifying
x2 = 14.5

Take the square root of each side:
x = {-3.807886553, 3.807886553}

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