(x-7)(x+3)+(x-1)(x+5)+26=0

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Solution for (x-7)(x+3)+(x-1)(x+5)+26=0 equation:


Simplifying
(x + -7)(x + 3) + (x + -1)(x + 5) + 26 = 0

Reorder the terms:
(-7 + x)(x + 3) + (x + -1)(x + 5) + 26 = 0

Reorder the terms:
(-7 + x)(3 + x) + (x + -1)(x + 5) + 26 = 0

Multiply (-7 + x) * (3 + x)
(-7(3 + x) + x(3 + x)) + (x + -1)(x + 5) + 26 = 0
((3 * -7 + x * -7) + x(3 + x)) + (x + -1)(x + 5) + 26 = 0
((-21 + -7x) + x(3 + x)) + (x + -1)(x + 5) + 26 = 0
(-21 + -7x + (3 * x + x * x)) + (x + -1)(x + 5) + 26 = 0
(-21 + -7x + (3x + x2)) + (x + -1)(x + 5) + 26 = 0

Combine like terms: -7x + 3x = -4x
(-21 + -4x + x2) + (x + -1)(x + 5) + 26 = 0

Reorder the terms:
-21 + -4x + x2 + (-1 + x)(x + 5) + 26 = 0

Reorder the terms:
-21 + -4x + x2 + (-1 + x)(5 + x) + 26 = 0

Multiply (-1 + x) * (5 + x)
-21 + -4x + x2 + (-1(5 + x) + x(5 + x)) + 26 = 0
-21 + -4x + x2 + ((5 * -1 + x * -1) + x(5 + x)) + 26 = 0
-21 + -4x + x2 + ((-5 + -1x) + x(5 + x)) + 26 = 0
-21 + -4x + x2 + (-5 + -1x + (5 * x + x * x)) + 26 = 0
-21 + -4x + x2 + (-5 + -1x + (5x + x2)) + 26 = 0

Combine like terms: -1x + 5x = 4x
-21 + -4x + x2 + (-5 + 4x + x2) + 26 = 0

Reorder the terms:
-21 + -5 + 26 + -4x + 4x + x2 + x2 = 0

Combine like terms: -21 + -5 = -26
-26 + 26 + -4x + 4x + x2 + x2 = 0

Combine like terms: -26 + 26 = 0
0 + -4x + 4x + x2 + x2 = 0
-4x + 4x + x2 + x2 = 0

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

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

Solving
2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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