(4x+3)2=25(1+x)2-(4+3x)2

Solution for (4x+3)2=25(1+x)2-(4+3x)2 equation:

Simplifying
(4x + 3) * 2 = 25(1 + x) * 2 + -1(4 + 3x) * 2

Reorder the terms:
(3 + 4x) * 2 = 25(1 + x) * 2 + -1(4 + 3x) * 2

Reorder the terms for easier multiplication:
2(3 + 4x) = 25(1 + x) * 2 + -1(4 + 3x) * 2
(3 * 2 + 4x * 2) = 25(1 + x) * 2 + -1(4 + 3x) * 2
(6 + 8x) = 25(1 + x) * 2 + -1(4 + 3x) * 2

Reorder the terms for easier multiplication:
6 + 8x = 25 * 2(1 + x) + -1(4 + 3x) * 2

Multiply 25 * 2
6 + 8x = 50(1 + x) + -1(4 + 3x) * 2
6 + 8x = (1 * 50 + x * 50) + -1(4 + 3x) * 2
6 + 8x = (50 + 50x) + -1(4 + 3x) * 2

Reorder the terms for easier multiplication:
6 + 8x = 50 + 50x + -1 * 2(4 + 3x)

Multiply -1 * 2
6 + 8x = 50 + 50x + -2(4 + 3x)
6 + 8x = 50 + 50x + (4 * -2 + 3x * -2)
6 + 8x = 50 + 50x + (-8 + -6x)

Reorder the terms:
6 + 8x = 50 + -8 + 50x + -6x

Combine like terms: 50 + -8 = 42
6 + 8x = 42 + 50x + -6x

Combine like terms: 50x + -6x = 44x
6 + 8x = 42 + 44x

Solving
6 + 8x = 42 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
6 + 8x + -44x = 42 + 44x + -44x

Combine like terms: 8x + -44x = -36x
6 + -36x = 42 + 44x + -44x

Combine like terms: 44x + -44x = 0
6 + -36x = 42 + 0
6 + -36x = 42

Add '-6' to each side of the equation.
6 + -6 + -36x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -36x = 42 + -6
-36x = 42 + -6

Combine like terms: 42 + -6 = 36
-36x = 36

Divide each side by '-36'.
x = -1

Simplifying
x = -1