2x*2x=(x+10)(2x-3)

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


Simplifying
2x * 2x = (x + 10)(2x + -3)

Reorder the terms for easier multiplication:
2 * 2x * x = (x + 10)(2x + -3)

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

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

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

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

Multiply (10 + x) * (-3 + 2x)
4x2 = (10(-3 + 2x) + x(-3 + 2x))
4x2 = ((-3 * 10 + 2x * 10) + x(-3 + 2x))
4x2 = ((-30 + 20x) + x(-3 + 2x))
4x2 = (-30 + 20x + (-3 * x + 2x * x))
4x2 = (-30 + 20x + (-3x + 2x2))

Combine like terms: 20x + -3x = 17x
4x2 = (-30 + 17x + 2x2)

Solving
4x2 = -30 + 17x + 2x2

Solving for variable 'x'.

Reorder the terms:
30 + -17x + 4x2 + -2x2 = -30 + 17x + 2x2 + 30 + -17x + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
30 + -17x + 2x2 = -30 + 17x + 2x2 + 30 + -17x + -2x2

Reorder the terms:
30 + -17x + 2x2 = -30 + 30 + 17x + -17x + 2x2 + -2x2

Combine like terms: -30 + 30 = 0
30 + -17x + 2x2 = 0 + 17x + -17x + 2x2 + -2x2
30 + -17x + 2x2 = 17x + -17x + 2x2 + -2x2

Combine like terms: 17x + -17x = 0
30 + -17x + 2x2 = 0 + 2x2 + -2x2
30 + -17x + 2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
30 + -17x + 2x2 = 0

Factor a trinomial.
(5 + -2x)(6 + -1x) = 0


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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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 = {2.5, 6}

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