(2x+3)(2x+3)-(x+1)(4x-5)=

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Solution for (2x+3)(2x+3)-(x+1)(4x-5)= equation: 


Simplifying
(2x + 3)(2x + 3) + -1(x + 1)(4x + -5) = 0

Reorder the terms:
(3 + 2x)(2x + 3) + -1(x + 1)(4x + -5) = 0

Reorder the terms:
(3 + 2x)(3 + 2x) + -1(x + 1)(4x + -5) = 0

Multiply (3 + 2x) * (3 + 2x)
(3(3 + 2x) + 2x * (3 + 2x)) + -1(x + 1)(4x + -5) = 0
((3 * 3 + 2x * 3) + 2x * (3 + 2x)) + -1(x + 1)(4x + -5) = 0
((9 + 6x) + 2x * (3 + 2x)) + -1(x + 1)(4x + -5) = 0
(9 + 6x + (3 * 2x + 2x * 2x)) + -1(x + 1)(4x + -5) = 0
(9 + 6x + (6x + 4x2)) + -1(x + 1)(4x + -5) = 0

Combine like terms: 6x + 6x = 12x
(9 + 12x + 4x2) + -1(x + 1)(4x + -5) = 0

Reorder the terms:
9 + 12x + 4x2 + -1(1 + x)(4x + -5) = 0

Reorder the terms:
9 + 12x + 4x2 + -1(1 + x)(-5 + 4x) = 0

Multiply (1 + x) * (-5 + 4x)
9 + 12x + 4x2 + -1(1(-5 + 4x) + x(-5 + 4x)) = 0
9 + 12x + 4x2 + -1((-5 * 1 + 4x * 1) + x(-5 + 4x)) = 0
9 + 12x + 4x2 + -1((-5 + 4x) + x(-5 + 4x)) = 0
9 + 12x + 4x2 + -1(-5 + 4x + (-5 * x + 4x * x)) = 0
9 + 12x + 4x2 + -1(-5 + 4x + (-5x + 4x2)) = 0

Combine like terms: 4x + -5x = -1x
9 + 12x + 4x2 + -1(-5 + -1x + 4x2) = 0
9 + 12x + 4x2 + (-5 * -1 + -1x * -1 + 4x2 * -1) = 0
9 + 12x + 4x2 + (5 + 1x + -4x2) = 0

Reorder the terms:
9 + 5 + 12x + 1x + 4x2 + -4x2 = 0

Combine like terms: 9 + 5 = 14
14 + 12x + 1x + 4x2 + -4x2 = 0

Combine like terms: 12x + 1x = 13x
14 + 13x + 4x2 + -4x2 = 0

Combine like terms: 4x2 + -4x2 = 0
14 + 13x + 0 = 0
14 + 13x = 0

Solving
14 + 13x = 0

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 13x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = 0 + -14
13x = 0 + -14

Combine like terms: 0 + -14 = -14
13x = -14

Divide each side by '13'.
x = -1.076923077

Simplifying
x = -1.076923077

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