90=3x^2+10x+2

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Solution for 90=3x^2+10x+2 equation: 


Simplifying
90 = 3x2 + 10x + 2

Reorder the terms:
90 = 2 + 10x + 3x2

Solving
90 = 2 + 10x + 3x2

Solving for variable 'x'.

Combine like terms: 90 + -2 = 88
88 + -10x + -3x2 = 2 + 10x + 3x2 + -2 + -10x + -3x2

Reorder the terms:
88 + -10x + -3x2 = 2 + -2 + 10x + -10x + 3x2 + -3x2

Combine like terms: 2 + -2 = 0
88 + -10x + -3x2 = 0 + 10x + -10x + 3x2 + -3x2
88 + -10x + -3x2 = 10x + -10x + 3x2 + -3x2

Combine like terms: 10x + -10x = 0
88 + -10x + -3x2 = 0 + 3x2 + -3x2
88 + -10x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
88 + -10x + -3x2 = 0

Factor a trinomial.
(4 + -1x)(22 + 3x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(22 + 3x)' equal to zero and attempt to solve:

Simplifying
22 + 3x = 0

Solving
22 + 3x = 0

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

Add '-22' to each side of the equation.
22 + -22 + 3x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = 0 + -22
3x = 0 + -22

Combine like terms: 0 + -22 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333
Solution
x = {4, -7.333333333}

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