3x^2+35=7x^2-4x

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Solution for 3x^2+35=7x^2-4x equation: 


Simplifying
3x2 + 35 = 7x2 + -4x

Reorder the terms:
35 + 3x2 = 7x2 + -4x

Reorder the terms:
35 + 3x2 = -4x + 7x2

Solving
35 + 3x2 = -4x + 7x2

Solving for variable 'x'.

Reorder the terms:
35 + 4x + 3x2 + -7x2 = -4x + 7x2 + 4x + -7x2

Combine like terms: 3x2 + -7x2 = -4x2
35 + 4x + -4x2 = -4x + 7x2 + 4x + -7x2

Reorder the terms:
35 + 4x + -4x2 = -4x + 4x + 7x2 + -7x2

Combine like terms: -4x + 4x = 0
35 + 4x + -4x2 = 0 + 7x2 + -7x2
35 + 4x + -4x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
35 + 4x + -4x2 = 0

Factor a trinomial.
(7 + -2x)(5 + 2x) = 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 '(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 = {3.5, -2.5}

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