(5x+6)(6x-3)=0

Simple and best practice solution for (5x+6)(6x-3)=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 (5x+6)(6x-3)=0 equation:


Simplifying
(5x + 6)(6x + -3) = 0

Reorder the terms:
(6 + 5x)(6x + -3) = 0

Reorder the terms:
(6 + 5x)(-3 + 6x) = 0

Multiply (6 + 5x) * (-3 + 6x)
(6(-3 + 6x) + 5x * (-3 + 6x)) = 0
((-3 * 6 + 6x * 6) + 5x * (-3 + 6x)) = 0
((-18 + 36x) + 5x * (-3 + 6x)) = 0
(-18 + 36x + (-3 * 5x + 6x * 5x)) = 0
(-18 + 36x + (-15x + 30x2)) = 0

Combine like terms: 36x + -15x = 21x
(-18 + 21x + 30x2) = 0

Solving
-18 + 21x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 7x + 10x2) = 0

Factor a trinomial.
3((-6 + -5x)(1 + -2x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-1.2, 0.5}

See similar equations:

| d/dx(tan5x | | 7*(x+2)+4*(x+3)=3x+1 | | 4m^2=-32m | | sin(2x)+cos(3x)=1.5 | | L=200/540 | | 6b^2-2b-4=0 | | 200/540 | | 1/7X2/9 | | 30-5x=4x+19 | | 1/6x=7/6 | | (x)(y)10=4000 | | -1.5=0.5x | | 120-20p=-30+30p | | 10-p=-5-2p | | -10-p=-5+2p | | 6(w-2)+5=(4w-3) | | -12n+12=-8n-8 | | 5/6=1/3x | | -x^2+3x=64 | | f=1/8k(d-n) | | H(t)=-162t^2+112t | | sqrt(3y+13)=sqrt(y+7) | | sqrt(8y+1)=sqrt(4y+9) | | sqrt(2y-1)=sqrt(5y-10) | | 3x^2+10x-14=0 | | 2x-5+3x=7x+5x-5 | | 4y+5-4y-5=0 | | sqrt(3y+13)=sqrt(y+5) | | X+(X(0.06))=1080.03 | | sqrt(8u+3)=sqrt(6u+13) | | 42-5x=15x+62 | | 16/y-2=4 |

Equations solver categories