0=2x^2-9x+7

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Solution for 0=2x^2-9x+7 equation: 


Simplifying
0 = 2x2 + -9x + 7

Reorder the terms:
0 = 7 + -9x + 2x2

Solving
0 = 7 + -9x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -7 = -7
-7 + 9x + -2x2 = 7 + -9x + 2x2 + -7 + 9x + -2x2

Reorder the terms:
-7 + 9x + -2x2 = 7 + -7 + -9x + 9x + 2x2 + -2x2

Combine like terms: 7 + -7 = 0
-7 + 9x + -2x2 = 0 + -9x + 9x + 2x2 + -2x2
-7 + 9x + -2x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
-7 + 9x + -2x2 = 0 + 2x2 + -2x2
-7 + 9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + 9x + -2x2 = 0

Factor a trinomial.
(-7 + 2x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

Subproblem 2
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
Solution
x = {3.5, 1}

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