X^2=4x^2-3x

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Solution for X^2=4x^2-3x equation: 


Simplifying
X2 = 4x2 + -3x

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

Solving
X2 = -3x + 4x2

Solving for variable 'X'.

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

Simplifying
X2 = -3x + 4x2

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

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

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

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


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

Simplifying
X + -1x = 0

Solving
X + -1x = 0

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

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

Combine like terms: -1x + x = 0
X + 0 = 0 + x
X = 0 + x
Remove the zero:
X = x

Simplifying
X = x

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

Simplifying
X + 4x = 0

Solving
X + 4x = 0

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

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

Combine like terms: 4x + -4x = 0
X + 0 = 0 + -4x
X = 0 + -4x
Remove the zero:
X = -4x

Simplifying
X = -4x
Solution
X = {x, -4x}

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