(5x+3)(6x-7)=0

Simple and best practice solution for (5x+3)(6x-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 (5x+3)(6x-7)=0 equation: 


Simplifying
(5x + 3)(6x + -7) = 0

Reorder the terms:
(3 + 5x)(6x + -7) = 0

Reorder the terms:
(3 + 5x)(-7 + 6x) = 0

Multiply (3 + 5x) * (-7 + 6x)
(3(-7 + 6x) + 5x * (-7 + 6x)) = 0
((-7 * 3 + 6x * 3) + 5x * (-7 + 6x)) = 0
((-21 + 18x) + 5x * (-7 + 6x)) = 0
(-21 + 18x + (-7 * 5x + 6x * 5x)) = 0
(-21 + 18x + (-35x + 30x2)) = 0

Combine like terms: 18x + -35x = -17x
(-21 + -17x + 30x2) = 0

Solving
-21 + -17x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -5x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-0.6, 1.166666667}

See similar equations:

| 10x+7=24 | | (-3x-5y)(4x^2+3xy+y^2)=0 | | -4(2+d)=10d-12 | | 3+49z+50=31 | | 3x-5=7x+6 | | 8=2(p-5)+6 | | 90=(3x-7)+(X+5) | | 4x+-7-2=29 | | (5x-25)+(4x+16)=180 | | 81=8X+64 | | X^2+25x=17 | | 4x^2-12x=91 | | -2y+10=19-7 | | 7x+2y+7z-3x+5z-4y= | | 5a+3b+4a-4b= | | 7x+3x=60 | | 5+3w=20 | | (-3x-8y)(-5x-4y)=0 | | log(1.04)=x | | 18x+40(x+3)=468 | | (14y-4)+(37-y)=180 | | 8(11-k)=3(3k-9) | | 5m+8=2m+5 | | -4(x-3+1)= | | (-3x+8)(8x^2+2x-1)=0 | | 5a+4b+6a-5b= | | 20+5.5m=75 | | 8x+19=3x+149 | | 6x=0.12 | | 3X+4x-5(-5x-14)=146 | | 4x+1-2x=2(x+2) | | 20+5.5=75 |

Equations solver categories