(2x-3)(2x-3)-4x(x+2)+49=-4x

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Solution for (2x-3)(2x-3)-4x(x+2)+49=-4x equation: 


Simplifying
(2x + -3)(2x + -3) + -4x(x + 2) + 49 = -4x

Reorder the terms:
(-3 + 2x)(2x + -3) + -4x(x + 2) + 49 = -4x

Reorder the terms:
(-3 + 2x)(-3 + 2x) + -4x(x + 2) + 49 = -4x

Multiply (-3 + 2x) * (-3 + 2x)
(-3(-3 + 2x) + 2x * (-3 + 2x)) + -4x(x + 2) + 49 = -4x
((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + -4x(x + 2) + 49 = -4x
((9 + -6x) + 2x * (-3 + 2x)) + -4x(x + 2) + 49 = -4x
(9 + -6x + (-3 * 2x + 2x * 2x)) + -4x(x + 2) + 49 = -4x
(9 + -6x + (-6x + 4x2)) + -4x(x + 2) + 49 = -4x

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2) + -4x(x + 2) + 49 = -4x

Reorder the terms:
9 + -12x + 4x2 + -4x(2 + x) + 49 = -4x
9 + -12x + 4x2 + (2 * -4x + x * -4x) + 49 = -4x
9 + -12x + 4x2 + (-8x + -4x2) + 49 = -4x

Reorder the terms:
9 + 49 + -12x + -8x + 4x2 + -4x2 = -4x

Combine like terms: 9 + 49 = 58
58 + -12x + -8x + 4x2 + -4x2 = -4x

Combine like terms: -12x + -8x = -20x
58 + -20x + 4x2 + -4x2 = -4x

Combine like terms: 4x2 + -4x2 = 0
58 + -20x + 0 = -4x
58 + -20x = -4x

Solving
58 + -20x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
58 + -20x + 4x = -4x + 4x

Combine like terms: -20x + 4x = -16x
58 + -16x = -4x + 4x

Combine like terms: -4x + 4x = 0
58 + -16x = 0

Add '-58' to each side of the equation.
58 + -58 + -16x = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -16x = 0 + -58
-16x = 0 + -58

Combine like terms: 0 + -58 = -58
-16x = -58

Divide each side by '-16'.
x = 3.625

Simplifying
x = 3.625

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