(x-7)(x-7)=(x+4)(x+4)

Solution for (x-7)(x-7)=(x+4)(x+4) equation:

Simplifying
(x + -7)(x + -7) = (x + 4)(x + 4)

Reorder the terms:
(-7 + x)(x + -7) = (x + 4)(x + 4)

Reorder the terms:
(-7 + x)(-7 + x) = (x + 4)(x + 4)

Multiply (-7 + x) * (-7 + x)
(-7(-7 + x) + x(-7 + x)) = (x + 4)(x + 4)
((-7 * -7 + x * -7) + x(-7 + x)) = (x + 4)(x + 4)
((49 + -7x) + x(-7 + x)) = (x + 4)(x + 4)
(49 + -7x + (-7 * x + x * x)) = (x + 4)(x + 4)
(49 + -7x + (-7x + x2)) = (x + 4)(x + 4)

Combine like terms: -7x + -7x = -14x
(49 + -14x + x2) = (x + 4)(x + 4)

Reorder the terms:
49 + -14x + x2 = (4 + x)(x + 4)

Reorder the terms:
49 + -14x + x2 = (4 + x)(4 + x)

Multiply (4 + x) * (4 + x)
49 + -14x + x2 = (4(4 + x) + x(4 + x))
49 + -14x + x2 = ((4 * 4 + x * 4) + x(4 + x))
49 + -14x + x2 = ((16 + 4x) + x(4 + x))
49 + -14x + x2 = (16 + 4x + (4 * x + x * x))
49 + -14x + x2 = (16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
49 + -14x + x2 = (16 + 8x + x2)

Add '-1x2' to each side of the equation.
49 + -14x + x2 + -1x2 = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x + 0 = 16 + 8x + x2 + -1x2
49 + -14x = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x = 16 + 8x + 0
49 + -14x = 16 + 8x

Solving
49 + -14x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
49 + -14x + -8x = 16 + 8x + -8x

Combine like terms: -14x + -8x = -22x
49 + -22x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
49 + -22x = 16 + 0
49 + -22x = 16

Add '-49' to each side of the equation.
49 + -49 + -22x = 16 + -49

Combine like terms: 49 + -49 = 0
0 + -22x = 16 + -49
-22x = 16 + -49

Combine like terms: 16 + -49 = -33
-22x = -33

Divide each side by '-22'.
x = 1.5

Simplifying
x = 1.5