(-3u-7)(2u+7)=0

Simple and best practice solution for (-3u-7)(2u+7)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (-3u-7)(2u+7)=0 equation: 


Simplifying
(-3u + -7)(2u + 7) = 0

Reorder the terms:
(-7 + -3u)(2u + 7) = 0

Reorder the terms:
(-7 + -3u)(7 + 2u) = 0

Multiply (-7 + -3u) * (7 + 2u)
(-7(7 + 2u) + -3u * (7 + 2u)) = 0
((7 * -7 + 2u * -7) + -3u * (7 + 2u)) = 0
((-49 + -14u) + -3u * (7 + 2u)) = 0
(-49 + -14u + (7 * -3u + 2u * -3u)) = 0
(-49 + -14u + (-21u + -6u2)) = 0

Combine like terms: -14u + -21u = -35u
(-49 + -35u + -6u2) = 0

Solving
-49 + -35u + -6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(49 + 35u + 6u2) = 0

Factor a trinomial.
-1((7 + 2u)(7 + 3u)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 2u)' equal to zero and attempt to solve:

Simplifying
7 + 2u = 0

Solving
7 + 2u = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2u = 0 + -7
2u = 0 + -7

Combine like terms: 0 + -7 = -7
2u = -7

Divide each side by '2'.
u = -3.5

Simplifying
u = -3.5

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

Simplifying
7 + 3u = 0

Solving
7 + 3u = 0

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

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

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

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

Divide each side by '3'.
u = -2.333333333

Simplifying
u = -2.333333333
Solution
u = {-3.5, -2.333333333}

See similar equations:

| a/10-8=2 | | 5x+y=73 | | a/10-8= | | (12a^2-23ab-6b)+(4a^2-b^2)+(3a^2+2ab+b^2)= | | ln(z-i)=0 | | 0,42=25/x | | 5a-32=48 | | (5r-30)=0 | | -30/5r | | 9x+5=17+x | | 86=2x+2y | | 1*3x=3 | | 7x+2=3(x+1) | | x^4-3x^3-4x^3+x^2+5x^3+x-3= | | X-12+x+10+X=163 | | 6x^2-11x-60=0 | | 17-6x=11-5x | | (-7-4)+13=2 | | 14y-15=17 | | 1.5x+38/3=4/3x-0.75 | | Abc=bca-acb | | Abc=bca-ach | | 9s^2+25=0 | | 3t(t-6)= | | 8x+9=7x+8 | | (3x-31)=(2x+14) | | 10x+5=9x-5 | | 38/32 | | 2a^3+3a^2-8a=0 | | 8*x-(1000/X^2)=0 | | (3y-4)(y+2)(y+1)=0 | | 6x-3=(3x-2) |

Equations solver categories