4x*x+20=10x+3x*x-4

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Solution for 4x*x+20=10x+3x*x-4 equation: 


Simplifying
4x * x + 20 = 10x + 3x * x + -4

Multiply x * x
4x2 + 20 = 10x + 3x * x + -4

Reorder the terms:
20 + 4x2 = 10x + 3x * x + -4

Multiply x * x
20 + 4x2 = 10x + 3x2 + -4

Reorder the terms:
20 + 4x2 = -4 + 10x + 3x2

Solving
20 + 4x2 = -4 + 10x + 3x2

Solving for variable 'x'.

Reorder the terms:
20 + 4 + -10x + 4x2 + -3x2 = -4 + 10x + 3x2 + 4 + -10x + -3x2

Combine like terms: 20 + 4 = 24
24 + -10x + 4x2 + -3x2 = -4 + 10x + 3x2 + 4 + -10x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
24 + -10x + 1x2 = -4 + 10x + 3x2 + 4 + -10x + -3x2

Reorder the terms:
24 + -10x + 1x2 = -4 + 4 + 10x + -10x + 3x2 + -3x2

Combine like terms: -4 + 4 = 0
24 + -10x + 1x2 = 0 + 10x + -10x + 3x2 + -3x2
24 + -10x + 1x2 = 10x + -10x + 3x2 + -3x2

Combine like terms: 10x + -10x = 0
24 + -10x + 1x2 = 0 + 3x2 + -3x2
24 + -10x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
24 + -10x + 1x2 = 0

Factor a trinomial.
(4 + -1x)(6 + -1x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {4, 6}

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