13*(4y+6)*(2y-7)=

Simple and best practice solution for 13*(4y+6)*(2y-7)= 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 13*(4y+6)*(2y-7)= equation:


Simplifying
13(4y + 6)(2y + -7) = 0

Reorder the terms:
13(6 + 4y)(2y + -7) = 0

Reorder the terms:
13(6 + 4y)(-7 + 2y) = 0

Multiply (6 + 4y) * (-7 + 2y)
13(6(-7 + 2y) + 4y * (-7 + 2y)) = 0
13((-7 * 6 + 2y * 6) + 4y * (-7 + 2y)) = 0
13((-42 + 12y) + 4y * (-7 + 2y)) = 0
13(-42 + 12y + (-7 * 4y + 2y * 4y)) = 0
13(-42 + 12y + (-28y + 8y2)) = 0

Combine like terms: 12y + -28y = -16y
13(-42 + -16y + 8y2) = 0
(-42 * 13 + -16y * 13 + 8y2 * 13) = 0
(-546 + -208y + 104y2) = 0

Solving
-546 + -208y + 104y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '26'.
26(-21 + -8y + 4y2) = 0

Factor a trinomial.
26((-3 + -2y)(7 + -2y)) = 0

Ignore the factor 26.

Subproblem 1

Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5

Subproblem 2

Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5

Solution

y = {-1.5, 3.5}

See similar equations:

| 6m=17 | | x^2+x+28=0 | | x-.20=152 | | -5Y+2(7-7(7Y+3))= | | X^6-1000=0 | | 2x+5=x-12 | | 2(-3)+3+5-3= | | 5n^2-12v-17=0 | | A-0.18A= | | 9-1-7= | | 3v(32-43)=-12 | | 4-7-1= | | 5(10x-10)=-3x+3 | | -7-4= | | 9x-2=-5x+10 | | Xy-3x=40 | | 6x^2+31x=17 | | -1-4z=5 | | 10x=9x-24 | | (22b-8)-7(3b+1)=-2 | | 2-c-5c-8c-6= | | 2+2(2)=2-1 | | 3x-6=2(x+9) | | 2(-3)+3+5-3(-3)= | | 10x+4x+4+7=5x+3+8x | | 5(2x-9)-6=0 | | 30=8+3(12+4x) | | 4-(2x+2)=1 | | -7y+8=8y+6 | | 3x-6=8(x+1) | | 2x-4-2x-8=8-2x | | 5(6x-4)-2=0 |

Equations solver categories