(y-4)(2y+5)=

Simple and best practice solution for (y-4)(2y+5)= 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 (y-4)(2y+5)= equation: 


Simplifying
(y + -4)(2y + 5) = 0

Reorder the terms:
(-4 + y)(2y + 5) = 0

Reorder the terms:
(-4 + y)(5 + 2y) = 0

Multiply (-4 + y) * (5 + 2y)
(-4(5 + 2y) + y(5 + 2y)) = 0
((5 * -4 + 2y * -4) + y(5 + 2y)) = 0
((-20 + -8y) + y(5 + 2y)) = 0
(-20 + -8y + (5 * y + 2y * y)) = 0
(-20 + -8y + (5y + 2y2)) = 0

Combine like terms: -8y + 5y = -3y
(-20 + -3y + 2y2) = 0

Solving
-20 + -3y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -2y)(4 + -1y) = 0


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

Simplifying
-5 + -2y = 0

Solving
-5 + -2y = 0

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

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

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

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

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

Simplifying
y = -2.5

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-2.5, 4}

See similar equations:

| 4s+27=75 | | o=.5(x)+6 | | o=.5x+6 | | 4x-28=7-x | | Y=.5(-2)+6 | | =x^2(4x+1) | | Y=.5(0)+6 | | 4.38(3f)+3.42f=99.36 | | 0=.5(x+6) | | 2d+10e+7d+8e= | | Y=.5(-2+6) | | Y=.5(0+6) | | Y=0.3(5+5.37) | | Y=0.3(3+5.37) | | (4+x)(2x+7)=0 | | Y=0.3(1+5.37) | | (2x).3=17.5 | | =x^2(x+6) | | Y=0.3x+5.37 | | 5t+2t-51=0 | | e^6x=77e^9x | | 5+(-4)(-4*10)=-35 | | =x^2(6+x) | | 5800=40x+4000 | | 4.38b+3.42f=99.36 | | 40x+(20*1.5x)=573 | | =5(-x+9)+10 | | 6-2z=-18 | | 2w+15=4w+7 | | -11-8x=40 | | 103.9-98.6= | | 3.3+1.61= |

Equations solver categories