26+51x=-7x^2+8+6x

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Solution for 26+51x=-7x^2+8+6x equation: 


Simplifying
26 + 51x = -7x2 + 8 + 6x

Reorder the terms:
26 + 51x = 8 + 6x + -7x2

Solving
26 + 51x = 8 + 6x + -7x2

Solving for variable 'x'.

Reorder the terms:
26 + -8 + 51x + -6x + 7x2 = 8 + 6x + -7x2 + -8 + -6x + 7x2

Combine like terms: 26 + -8 = 18
18 + 51x + -6x + 7x2 = 8 + 6x + -7x2 + -8 + -6x + 7x2

Combine like terms: 51x + -6x = 45x
18 + 45x + 7x2 = 8 + 6x + -7x2 + -8 + -6x + 7x2

Reorder the terms:
18 + 45x + 7x2 = 8 + -8 + 6x + -6x + -7x2 + 7x2

Combine like terms: 8 + -8 = 0
18 + 45x + 7x2 = 0 + 6x + -6x + -7x2 + 7x2
18 + 45x + 7x2 = 6x + -6x + -7x2 + 7x2

Combine like terms: 6x + -6x = 0
18 + 45x + 7x2 = 0 + -7x2 + 7x2
18 + 45x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
18 + 45x + 7x2 = 0

Factor a trinomial.
(6 + x)(3 + 7x) = 0


Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

Solving
3 + 7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 0 + -3
7x = 0 + -3

Combine like terms: 0 + -3 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Solution
x = {-6, -0.4285714286}

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