2x^2-10x+4=(x-3)(x-3)

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Solution for 2x^2-10x+4=(x-3)(x-3) equation: 


Simplifying
2x2 + -10x + 4 = (x + -3)(x + -3)

Reorder the terms:
4 + -10x + 2x2 = (x + -3)(x + -3)

Reorder the terms:
4 + -10x + 2x2 = (-3 + x)(x + -3)

Reorder the terms:
4 + -10x + 2x2 = (-3 + x)(-3 + x)

Multiply (-3 + x) * (-3 + x)
4 + -10x + 2x2 = (-3(-3 + x) + x(-3 + x))
4 + -10x + 2x2 = ((-3 * -3 + x * -3) + x(-3 + x))
4 + -10x + 2x2 = ((9 + -3x) + x(-3 + x))
4 + -10x + 2x2 = (9 + -3x + (-3 * x + x * x))
4 + -10x + 2x2 = (9 + -3x + (-3x + x2))

Combine like terms: -3x + -3x = -6x
4 + -10x + 2x2 = (9 + -6x + x2)

Solving
4 + -10x + 2x2 = 9 + -6x + x2

Solving for variable 'x'.

Reorder the terms:
4 + -9 + -10x + 6x + 2x2 + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Combine like terms: 4 + -9 = -5
-5 + -10x + 6x + 2x2 + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Combine like terms: -10x + 6x = -4x
-5 + -4x + 2x2 + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-5 + -4x + 1x2 = 9 + -6x + x2 + -9 + 6x + -1x2

Reorder the terms:
-5 + -4x + 1x2 = 9 + -9 + -6x + 6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-5 + -4x + 1x2 = 0 + -6x + 6x + x2 + -1x2
-5 + -4x + 1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-5 + -4x + 1x2 = 0 + x2 + -1x2
-5 + -4x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + -4x + 1x2 = 0

Factor a trinomial.
(-1 + -1x)(5 + -1x) = 0


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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1, 5}

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