0=2x^2-3x-35

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Solution for 0=2x^2-3x-35 equation: 


Simplifying
0 = 2x2 + -3x + -35

Reorder the terms:
0 = -35 + -3x + 2x2

Solving
0 = -35 + -3x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 35 = 35
35 + 3x + -2x2 = -35 + -3x + 2x2 + 35 + 3x + -2x2

Reorder the terms:
35 + 3x + -2x2 = -35 + 35 + -3x + 3x + 2x2 + -2x2

Combine like terms: -35 + 35 = 0
35 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
35 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
35 + 3x + -2x2 = 0 + 2x2 + -2x2
35 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
35 + 3x + -2x2 = 0

Factor a trinomial.
(5 + -1x)(7 + 2x) = 0


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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
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
Solution
x = {5, -3.5}

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