470=2x^2-3x+6

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Solution for 470=2x^2-3x+6 equation: 


Simplifying
470 = 2x2 + -3x + 6

Reorder the terms:
470 = 6 + -3x + 2x2

Solving
470 = 6 + -3x + 2x2

Solving for variable 'x'.

Combine like terms: 470 + -6 = 464
464 + 3x + -2x2 = 6 + -3x + 2x2 + -6 + 3x + -2x2

Reorder the terms:
464 + 3x + -2x2 = 6 + -6 + -3x + 3x + 2x2 + -2x2

Combine like terms: 6 + -6 = 0
464 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
464 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
464 + 3x + -2x2 = 0 + 2x2 + -2x2
464 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
464 + 3x + -2x2 = 0

Factor a trinomial.
(16 + -1x)(29 + 2x) = 0


Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

Subproblem 2
Set the factor '(29 + 2x)' equal to zero and attempt to solve:

Simplifying
29 + 2x = 0

Solving
29 + 2x = 0

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

Add '-29' to each side of the equation.
29 + -29 + 2x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 2x = 0 + -29
2x = 0 + -29

Combine like terms: 0 + -29 = -29
2x = -29

Divide each side by '2'.
x = -14.5

Simplifying
x = -14.5
Solution
x = {16, -14.5}

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