3x+4=16-2*(4*2x)+(2x*2x)

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Solution for 3x+4=16-2*(4*2x)+(2x*2x) equation: 


Simplifying
3x + 4 = 16 + -2(4 * 2x) + (2x * 2x)

Reorder the terms:
4 + 3x = 16 + -2(4 * 2x) + (2x * 2x)

Multiply 4 * 2
4 + 3x = 16 + -2(8x) + (2x * 2x)

Remove parenthesis around (8x)
4 + 3x = 16 + -2 * 8x + (2x * 2x)

Multiply -2 * 8
4 + 3x = 16 + -16x + (2x * 2x)

Reorder the terms for easier multiplication:
4 + 3x = 16 + -16x + (2 * 2x * x)

Multiply 2 * 2
4 + 3x = 16 + -16x + (4x * x)

Multiply x * x
4 + 3x = 16 + -16x + (4x2)

Solving
4 + 3x = 16 + -16x + (4x2)

Solving for variable 'x'.

Reorder the terms:
4 + -16 + 3x + 16x + (-4x2) = 16 + -16x + (4x2) + -16 + 16x + (-4x2)

Combine like terms: 4 + -16 = -12
-12 + 3x + 16x + (-4x2) = 16 + -16x + (4x2) + -16 + 16x + (-4x2)

Combine like terms: 3x + 16x = 19x
-12 + 19x + (-4x2) = 16 + -16x + (4x2) + -16 + 16x + (-4x2)

Reorder the terms:
-12 + 19x + (-4x2) = 16 + -16 + -16x + 16x + (4x2) + (-4x2)

Combine like terms: 16 + -16 = 0
-12 + 19x + (-4x2) = 0 + -16x + 16x + (4x2) + (-4x2)
-12 + 19x + (-4x2) = -16x + 16x + (4x2) + (-4x2)

Combine like terms: -16x + 16x = 0
-12 + 19x + (-4x2) = 0 + (4x2) + (-4x2)
-12 + 19x + (-4x2) = (4x2) + (-4x2)

Combine like terms: (4x2) + (-4x2) = 0
-12 + 19x + (-4x2) = 0

Factor a trinomial.
(-4 + x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

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

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {4, 0.75}

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