(6x-9)(8x+7)=0

Simple and best practice solution for (6x-9)(8x+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 (6x-9)(8x+7)=0 equation: 


Simplifying
(6x + -9)(8x + 7) = 0

Reorder the terms:
(-9 + 6x)(8x + 7) = 0

Reorder the terms:
(-9 + 6x)(7 + 8x) = 0

Multiply (-9 + 6x) * (7 + 8x)
(-9(7 + 8x) + 6x * (7 + 8x)) = 0
((7 * -9 + 8x * -9) + 6x * (7 + 8x)) = 0
((-63 + -72x) + 6x * (7 + 8x)) = 0
(-63 + -72x + (7 * 6x + 8x * 6x)) = 0
(-63 + -72x + (42x + 48x2)) = 0

Combine like terms: -72x + 42x = -30x
(-63 + -30x + 48x2) = 0

Solving
-63 + -30x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -10x + 16x2) = 0

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

Ignore the factor 3.

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

Simplifying
-7 + -8x = 0

Solving
-7 + -8x = 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 + -8x = 0 + 7

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

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

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.875, 1.5}

See similar equations:

| 5(10)-4(-6)= | | 4/5(y)=6 | | -2z+22+4z=3.2+2z-1.2 | | 3-20=9x-8-8x | | 1.2x+2.3-.5x=4.3+x | | -16t+28+8=0 | | (5x-8)/(x-4) | | 1.2=1960000/x | | 5(x+6)=x(4) | | -5+x=6+14 | | x^(1/2)=8 | | 5x+3x-12=60 | | 265+48h=558 | | (3x-140)^1/2=(x/5)^1/2 | | 20=2x+14 | | 5-4y+x+9y=0 | | 15=-12b+5b | | D(-3+x)=kx+9 | | 4x+3x^2-x^3=0 | | -39+7=18-x | | 7/2x=-5/6 | | 10x+5y=1150 | | (x+y+z)(x-y-z)= | | .333x+3=26+.333x-23 | | 5p+6p+2p-1= | | -9-0.13y=0.4y-4.23 | | -4x+5=-4x+-4 | | -0.06x+1.93=2.38+0.3x | | 5x+5=-4x+-5 | | ln(8x+3)=4 | | 57.3r+23.77=2.99 | | (1+2x)(x^2-3x+1)= |

Equations solver categories