x^2+4x+70=3x^2-5x+35

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Solution for x^2+4x+70=3x^2-5x+35 equation: 


Simplifying
x2 + 4x + 70 = 3x2 + -5x + 35

Reorder the terms:
70 + 4x + x2 = 3x2 + -5x + 35

Reorder the terms:
70 + 4x + x2 = 35 + -5x + 3x2

Solving
70 + 4x + x2 = 35 + -5x + 3x2

Solving for variable 'x'.

Reorder the terms:
70 + -35 + 4x + 5x + x2 + -3x2 = 35 + -5x + 3x2 + -35 + 5x + -3x2

Combine like terms: 70 + -35 = 35
35 + 4x + 5x + x2 + -3x2 = 35 + -5x + 3x2 + -35 + 5x + -3x2

Combine like terms: 4x + 5x = 9x
35 + 9x + x2 + -3x2 = 35 + -5x + 3x2 + -35 + 5x + -3x2

Combine like terms: x2 + -3x2 = -2x2
35 + 9x + -2x2 = 35 + -5x + 3x2 + -35 + 5x + -3x2

Reorder the terms:
35 + 9x + -2x2 = 35 + -35 + -5x + 5x + 3x2 + -3x2

Combine like terms: 35 + -35 = 0
35 + 9x + -2x2 = 0 + -5x + 5x + 3x2 + -3x2
35 + 9x + -2x2 = -5x + 5x + 3x2 + -3x2

Combine like terms: -5x + 5x = 0
35 + 9x + -2x2 = 0 + 3x2 + -3x2
35 + 9x + -2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
35 + 9x + -2x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {7, -2.5}

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