16-4(x-3)*(x-3)=4x*x+30x+10-6x+30

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Solution for 16-4(x-3)*(x-3)=4x*x+30x+10-6x+30 equation: 


Simplifying
16 + -4(x + -3)(x + -3) = 4x * x + 30x + 10 + -6x + 30

Reorder the terms:
16 + -4(-3 + x)(x + -3) = 4x * x + 30x + 10 + -6x + 30

Reorder the terms:
16 + -4(-3 + x)(-3 + x) = 4x * x + 30x + 10 + -6x + 30

Multiply (-3 + x) * (-3 + x)
16 + -4(-3(-3 + x) + x(-3 + x)) = 4x * x + 30x + 10 + -6x + 30
16 + -4((-3 * -3 + x * -3) + x(-3 + x)) = 4x * x + 30x + 10 + -6x + 30
16 + -4((9 + -3x) + x(-3 + x)) = 4x * x + 30x + 10 + -6x + 30
16 + -4(9 + -3x + (-3 * x + x * x)) = 4x * x + 30x + 10 + -6x + 30
16 + -4(9 + -3x + (-3x + x2)) = 4x * x + 30x + 10 + -6x + 30

Combine like terms: -3x + -3x = -6x
16 + -4(9 + -6x + x2) = 4x * x + 30x + 10 + -6x + 30
16 + (9 * -4 + -6x * -4 + x2 * -4) = 4x * x + 30x + 10 + -6x + 30
16 + (-36 + 24x + -4x2) = 4x * x + 30x + 10 + -6x + 30

Combine like terms: 16 + -36 = -20
-20 + 24x + -4x2 = 4x * x + 30x + 10 + -6x + 30

Multiply x * x
-20 + 24x + -4x2 = 4x2 + 30x + 10 + -6x + 30

Reorder the terms:
-20 + 24x + -4x2 = 10 + 30 + 30x + -6x + 4x2

Combine like terms: 10 + 30 = 40
-20 + 24x + -4x2 = 40 + 30x + -6x + 4x2

Combine like terms: 30x + -6x = 24x
-20 + 24x + -4x2 = 40 + 24x + 4x2

Add '-24x' to each side of the equation.
-20 + 24x + -24x + -4x2 = 40 + 24x + -24x + 4x2

Combine like terms: 24x + -24x = 0
-20 + 0 + -4x2 = 40 + 24x + -24x + 4x2
-20 + -4x2 = 40 + 24x + -24x + 4x2

Combine like terms: 24x + -24x = 0
-20 + -4x2 = 40 + 0 + 4x2
-20 + -4x2 = 40 + 4x2

Solving
-20 + -4x2 = 40 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
-20 + -4x2 + -4x2 = 40 + 4x2 + -4x2

Combine like terms: -4x2 + -4x2 = -8x2
-20 + -8x2 = 40 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-20 + -8x2 = 40 + 0
-20 + -8x2 = 40

Add '20' to each side of the equation.
-20 + 20 + -8x2 = 40 + 20

Combine like terms: -20 + 20 = 0
0 + -8x2 = 40 + 20
-8x2 = 40 + 20

Combine like terms: 40 + 20 = 60
-8x2 = 60

Divide each side by '-8'.
x2 = -7.5

Simplifying
x2 = -7.5

Reorder the terms:
7.5 + x2 = -7.5 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
7.5 + x2 = 0.0

The solution to this equation could not be determined.

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