-10x+9x^2+3=2x-1

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Solution for -10x+9x^2+3=2x-1 equation: 


Simplifying
-10x + 9x2 + 3 = 2x + -1

Reorder the terms:
3 + -10x + 9x2 = 2x + -1

Reorder the terms:
3 + -10x + 9x2 = -1 + 2x

Solving
3 + -10x + 9x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
3 + 1 + -10x + -2x + 9x2 = -1 + 2x + 1 + -2x

Combine like terms: 3 + 1 = 4
4 + -10x + -2x + 9x2 = -1 + 2x + 1 + -2x

Combine like terms: -10x + -2x = -12x
4 + -12x + 9x2 = -1 + 2x + 1 + -2x

Reorder the terms:
4 + -12x + 9x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
4 + -12x + 9x2 = 0 + 2x + -2x
4 + -12x + 9x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -12x + 9x2 = 0

Factor a trinomial.
(2 + -3x)(2 + -3x) = 0


Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0.6666666667, 0.6666666667}

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