10-3x(2x-1)=3x+1

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Solution for 10-3x(2x-1)=3x+1 equation: 


Simplifying
10 + -3x(2x + -1) = 3x + 1

Reorder the terms:
10 + -3x(-1 + 2x) = 3x + 1
10 + (-1 * -3x + 2x * -3x) = 3x + 1
10 + (3x + -6x2) = 3x + 1

Reorder the terms:
10 + 3x + -6x2 = 1 + 3x

Add '-3x' to each side of the equation.
10 + 3x + -3x + -6x2 = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 0 + -6x2 = 1 + 3x + -3x
10 + -6x2 = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -6x2 = 1 + 0
10 + -6x2 = 1

Solving
10 + -6x2 = 1

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -6x2 = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -6x2 = 1 + -10
-6x2 = 1 + -10

Combine like terms: 1 + -10 = -9
-6x2 = -9

Divide each side by '-6'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}

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