4X^2+x-30=3-2x(5-2x)

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Solution for 4X^2+x-30=3-2x(5-2x) equation: 


Simplifying
4X2 + x + -30 = 3 + -2x(5 + -2x)

Reorder the terms:
-30 + 4X2 + x = 3 + -2x(5 + -2x)
-30 + 4X2 + x = 3 + (5 * -2x + -2x * -2x)
-30 + 4X2 + x = 3 + (-10x + 4x2)

Solving
-30 + 4X2 + x = 3 + -10x + 4x2

Solving for variable 'X'.

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

Add '30' to each side of the equation.
-30 + 4X2 + 30 + x = 3 + -10x + 30 + 4x2

Reorder the terms:
-30 + 30 + 4X2 + x = 3 + -10x + 30 + 4x2

Combine like terms: -30 + 30 = 0
0 + 4X2 + x = 3 + -10x + 30 + 4x2
4X2 + x = 3 + -10x + 30 + 4x2

Reorder the terms:
4X2 + x = 3 + 30 + -10x + 4x2

Combine like terms: 3 + 30 = 33
4X2 + x = 33 + -10x + 4x2

Add '-1x' to each side of the equation.
4X2 + x + -1x = 33 + -10x + -1x + 4x2

Combine like terms: x + -1x = 0
4X2 + 0 = 33 + -10x + -1x + 4x2
4X2 = 33 + -10x + -1x + 4x2

Combine like terms: -10x + -1x = -11x
4X2 = 33 + -11x + 4x2

Divide each side by '4'.
X2 = 8.25 + -2.75x + x2

Simplifying
X2 = 8.25 + -2.75x + x2

Reorder the terms:
-8.25 + X2 + 2.75x + -1x2 = 8.25 + -2.75x + x2 + -8.25 + 2.75x + -1x2

Reorder the terms:
-8.25 + X2 + 2.75x + -1x2 = 8.25 + -8.25 + -2.75x + 2.75x + x2 + -1x2

Combine like terms: 8.25 + -8.25 = 0.00
-8.25 + X2 + 2.75x + -1x2 = 0.00 + -2.75x + 2.75x + x2 + -1x2
-8.25 + X2 + 2.75x + -1x2 = -2.75x + 2.75x + x2 + -1x2

Combine like terms: -2.75x + 2.75x = 0.00
-8.25 + X2 + 2.75x + -1x2 = 0.00 + x2 + -1x2
-8.25 + X2 + 2.75x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8.25 + X2 + 2.75x + -1x2 = 0

The solution to this equation could not be determined.

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