(6x-4)(7x+8)=0

Simple and best practice solution for (6x-4)(7x+8)=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-4)(7x+8)=0 equation: 


Simplifying
(6x + -4)(7x + 8) = 0

Reorder the terms:
(-4 + 6x)(7x + 8) = 0

Reorder the terms:
(-4 + 6x)(8 + 7x) = 0

Multiply (-4 + 6x) * (8 + 7x)
(-4(8 + 7x) + 6x * (8 + 7x)) = 0
((8 * -4 + 7x * -4) + 6x * (8 + 7x)) = 0
((-32 + -28x) + 6x * (8 + 7x)) = 0
(-32 + -28x + (8 * 6x + 7x * 6x)) = 0
(-32 + -28x + (48x + 42x2)) = 0

Combine like terms: -28x + 48x = 20x
(-32 + 20x + 42x2) = 0

Solving
-32 + 20x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 10x + 21x2) = 0

Factor a trinomial.
2((-8 + -7x)(2 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-1.142857143, 0.6666666667}

See similar equations:

| 3x^4-2x^2+15x^2-10= | | 0.5x-0.245x^2=0 | | 2z-6z=24 | | 8-2n=4(3-n)-14 | | 9(x+9)= | | 5x^2-2x-20x+8= | | 13m=6 | | a+(a+8)(-8)=a-8 | | 9x^2+36x=0 | | 8-2xn=4x(3-n)-14 | | 116-92=30y-38y | | (6t-4)=3(t+1)+3 | | 11=y+14 | | -7(2p+2)-26=4(3p+3) | | x^2+2x+5x+10= | | 8+5(x-4)=10-3(x-7) | | a+(a+4)(-4)=a-4 | | 20-x+37=51 | | 3x+2=-(x-6) | | 21z^2+85z-26=0 | | 70=x*210 | | -6(2x+4)= | | 5n-3=9-n | | 5n-1=11-n | | 2a^2+1+3a=0 | | 36=7m-32 | | 5(x-1)-35=0 | | 25a=10a^2 | | 16y-6=45-y | | 25y^3-165y^2-70y= | | 6z+1=z-5 | | 25=3x+3 |

Equations solver categories