(2w+5)(w-7)=0

Simple and best practice solution for (2w+5)(w-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 (2w+5)(w-7)=0 equation: 


Simplifying
(2w + 5)(w + -7) = 0

Reorder the terms:
(5 + 2w)(w + -7) = 0

Reorder the terms:
(5 + 2w)(-7 + w) = 0

Multiply (5 + 2w) * (-7 + w)
(5(-7 + w) + 2w * (-7 + w)) = 0
((-7 * 5 + w * 5) + 2w * (-7 + w)) = 0
((-35 + 5w) + 2w * (-7 + w)) = 0
(-35 + 5w + (-7 * 2w + w * 2w)) = 0
(-35 + 5w + (-14w + 2w2)) = 0

Combine like terms: 5w + -14w = -9w
(-35 + -9w + 2w2) = 0

Solving
-35 + -9w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -2w)(7 + -1w) = 0


Subproblem 1
Set the factor '(-5 + -2w)' equal to zero and attempt to solve:

Simplifying
-5 + -2w = 0

Solving
-5 + -2w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2w = 0 + 5
-2w = 0 + 5

Combine like terms: 0 + 5 = 5
-2w = 5

Divide each side by '-2'.
w = -2.5

Simplifying
w = -2.5

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

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Solution
w = {-2.5, 7}

See similar equations:

| 28u-8+u+32=40u-9 | | -9x+5x=8 | | 3x+6(9x-7)=414 | | 4r+11=15 | | 2*-13-3-15=9 | | 2x-39=17 | | 4p+15+33=6p | | -(-8)+4=2(x)+-8 | | 15w-49+33=13w | | -8/3x=16/3 | | 49x+43=48x+45 | | z-32.56=12 | | -12x-14=-86 | | 2z+47=6z-16 | | 2(12y-11)=-4(1-6y) | | -(x-8)+4=2(12)+x | | 25=10+5j | | 5m^2+26m+5=0 | | 2x-3*-13=9 | | -(x-8)+4=2(-12)+x | | 7x+3(5-3x)=5 | | b+3+b=b+50 | | ly-8l+6=15 | | 3a+1=a+19 | | 15.08+w=30.08 | | Cosx/cos^2(2x) | | -5x-3*-13=30 | | 7m+48=8(m+7) | | 3b^2+11b+8=0 | | -5x-(3*-13)=30 | | 18=5-2+6x-x | | -(x-8)+4=2(7)+x |

Equations solver categories