3x^2+7=-20x-25

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Solution for 3x^2+7=-20x-25 equation: 


Simplifying
3x2 + 7 = -20x + -25

Reorder the terms:
7 + 3x2 = -20x + -25

Reorder the terms:
7 + 3x2 = -25 + -20x

Solving
7 + 3x2 = -25 + -20x

Solving for variable 'x'.

Reorder the terms:
7 + 25 + 20x + 3x2 = -25 + -20x + 25 + 20x

Combine like terms: 7 + 25 = 32
32 + 20x + 3x2 = -25 + -20x + 25 + 20x

Reorder the terms:
32 + 20x + 3x2 = -25 + 25 + -20x + 20x

Combine like terms: -25 + 25 = 0
32 + 20x + 3x2 = 0 + -20x + 20x
32 + 20x + 3x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
32 + 20x + 3x2 = 0

Factor a trinomial.
(4 + x)(8 + 3x) = 0


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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {-4, -2.666666667}

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