2x(x+3)=x^2+3x+70

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Solution for 2x(x+3)=x^2+3x+70 equation: 


Simplifying
2x(x + 3) = x2 + 3x + 70

Reorder the terms:
2x(3 + x) = x2 + 3x + 70
(3 * 2x + x * 2x) = x2 + 3x + 70
(6x + 2x2) = x2 + 3x + 70

Reorder the terms:
6x + 2x2 = 70 + 3x + x2

Solving
6x + 2x2 = 70 + 3x + x2

Solving for variable 'x'.

Reorder the terms:
-70 + 6x + -3x + 2x2 + -1x2 = 70 + 3x + x2 + -70 + -3x + -1x2

Combine like terms: 6x + -3x = 3x
-70 + 3x + 2x2 + -1x2 = 70 + 3x + x2 + -70 + -3x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-70 + 3x + 1x2 = 70 + 3x + x2 + -70 + -3x + -1x2

Reorder the terms:
-70 + 3x + 1x2 = 70 + -70 + 3x + -3x + x2 + -1x2

Combine like terms: 70 + -70 = 0
-70 + 3x + 1x2 = 0 + 3x + -3x + x2 + -1x2
-70 + 3x + 1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-70 + 3x + 1x2 = 0 + x2 + -1x2
-70 + 3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-70 + 3x + 1x2 = 0

Factor a trinomial.
(-10 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-10, 7}

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