40x^2+25=-67x-3

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Solution for 40x^2+25=-67x-3 equation: 


Simplifying
40x2 + 25 = -67x + -3

Reorder the terms:
25 + 40x2 = -67x + -3

Reorder the terms:
25 + 40x2 = -3 + -67x

Solving
25 + 40x2 = -3 + -67x

Solving for variable 'x'.

Reorder the terms:
25 + 3 + 67x + 40x2 = -3 + -67x + 3 + 67x

Combine like terms: 25 + 3 = 28
28 + 67x + 40x2 = -3 + -67x + 3 + 67x

Reorder the terms:
28 + 67x + 40x2 = -3 + 3 + -67x + 67x

Combine like terms: -3 + 3 = 0
28 + 67x + 40x2 = 0 + -67x + 67x
28 + 67x + 40x2 = -67x + 67x

Combine like terms: -67x + 67x = 0
28 + 67x + 40x2 = 0

Factor a trinomial.
(7 + 8x)(4 + 5x) = 0


Subproblem 1
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 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 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 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 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-0.875, -0.8}

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