4x^2-22x=-3x^2-4x-8

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Solution for 4x^2-22x=-3x^2-4x-8 equation: 


Simplifying
4x2 + -22x = -3x2 + -4x + -8

Reorder the terms:
-22x + 4x2 = -3x2 + -4x + -8

Reorder the terms:
-22x + 4x2 = -8 + -4x + -3x2

Solving
-22x + 4x2 = -8 + -4x + -3x2

Solving for variable 'x'.

Reorder the terms:
8 + -22x + 4x + 4x2 + 3x2 = -8 + -4x + -3x2 + 8 + 4x + 3x2

Combine like terms: -22x + 4x = -18x
8 + -18x + 4x2 + 3x2 = -8 + -4x + -3x2 + 8 + 4x + 3x2

Combine like terms: 4x2 + 3x2 = 7x2
8 + -18x + 7x2 = -8 + -4x + -3x2 + 8 + 4x + 3x2

Reorder the terms:
8 + -18x + 7x2 = -8 + 8 + -4x + 4x + -3x2 + 3x2

Combine like terms: -8 + 8 = 0
8 + -18x + 7x2 = 0 + -4x + 4x + -3x2 + 3x2
8 + -18x + 7x2 = -4x + 4x + -3x2 + 3x2

Combine like terms: -4x + 4x = 0
8 + -18x + 7x2 = 0 + -3x2 + 3x2
8 + -18x + 7x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
8 + -18x + 7x2 = 0

Factor a trinomial.
(4 + -7x)(2 + -1x) = 0


Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.5714285714, 2}

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