(3x-8)(7x+6)=0

Simple and best practice solution for (3x-8)(7x+6)=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 (3x-8)(7x+6)=0 equation:


Simplifying
(3x + -8)(7x + 6) = 0

Reorder the terms:
(-8 + 3x)(7x + 6) = 0

Reorder the terms:
(-8 + 3x)(6 + 7x) = 0

Multiply (-8 + 3x) * (6 + 7x)
(-8(6 + 7x) + 3x * (6 + 7x)) = 0
((6 * -8 + 7x * -8) + 3x * (6 + 7x)) = 0
((-48 + -56x) + 3x * (6 + 7x)) = 0
(-48 + -56x + (6 * 3x + 7x * 3x)) = 0
(-48 + -56x + (18x + 21x2)) = 0

Combine like terms: -56x + 18x = -38x
(-48 + -38x + 21x2) = 0

Solving
-48 + -38x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -7x)(8 + -3x) = 0

Subproblem 1

Set the factor '(-6 + -7x)' equal to zero and attempt to solve: Simplifying -6 + -7x = 0 Solving -6 + -7x = 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 + -7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 0 + 6 -7x = 0 + 6 Combine like terms: 0 + 6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571

Subproblem 2

Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {-0.8571428571, 2.666666667}

See similar equations:

| 2x-3(x+3)=27 | | n-25=45.5 | | 6b+4b=10 | | -(n+3)=-33+5n | | 6(3x+4)-2x=136 | | 20-2x=-10 | | 2pn-9=3(2p-5) | | 5(p+3)+9=(p-2)3+6 | | 15=4r+1+3r | | .6v+2.1=45 | | 8+-7=7 | | -y+21=r | | 8(7n+5)=152 | | 1-8(6-6r)=-191 | | 11.1=-0.65*18+x | | -3x^2+3x+17=-1 | | rt(-8)=10 | | x+2=-2x+2x-1 | | 5n+8(n+6)=2(2n+6) | | 8x+9x-4x-5=60 | | -6n^2+6n-5=-4n^2+10n | | c/6-8=3 | | 2-x+3=6+x | | -12n^2-9n+2=7 | | 2x+2+3x=63 | | 6x-7=-10x+8 | | y=-0.65*18+23 | | -6=0.75(r-12) | | -3(4a+5)=-99 | | 23=16-(2z+4) | | X^2+18x=3 | | -8n^2-3n+15=-8 |

Equations solver categories