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

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


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

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

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

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

Combine like terms: -7x + 30x = 23x
(-35 + 23x + 6x2) = 0

Solving
-35 + 23x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(7 + -6x) = 0


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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 = {-5, 1.166666667}

See similar equations:

| 3.2n-7=9 | | (-15/16)/(1/4) | | 3*(2-x)+4=5-(3x-10)-x | | 18=5(m+3) | | 4x+27=10x-33 | | 3a+3b=180 | | 8-(2x+5)=4x+1 | | C=4n+15 | | 13/8-2/8 | | X^3y^2+x^2y-2x=0 | | Log[6](8-4x)=2 | | 2*(3x-1)=3*(4x+2) | | 19=5(m+3) | | -5-5=-5(x-1) | | 5.7+0.3n=6.9 | | n+3=5n+21 | | 3(x+6)+6=5x-6 | | ln(x-1)+3=ln(2x+1) | | 180=23x-5+21x-5 | | 12x+13-6=66 | | x+21=4x+1 | | -5(2x+6y+5)= | | Y=3x-0 | | 8(a+6)=10 | | 27-X=-7(7x+3) | | 5(9x+11)+5+(-14x)= | | 17-x=15 | | T=5n+40 | | 4/5÷5/6 | | 3(x-1)+8=6x-3(-3+x) | | 4-2p=10 | | 5/6×4/5 |

Equations solver categories