(9x-6)(5x+7)=

Simple and best practice solution for (9x-6)(5x+7)= 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 (9x-6)(5x+7)= equation: 


Simplifying
(9x + -6)(5x + 7) = 0

Reorder the terms:
(-6 + 9x)(5x + 7) = 0

Reorder the terms:
(-6 + 9x)(7 + 5x) = 0

Multiply (-6 + 9x) * (7 + 5x)
(-6(7 + 5x) + 9x * (7 + 5x)) = 0
((7 * -6 + 5x * -6) + 9x * (7 + 5x)) = 0
((-42 + -30x) + 9x * (7 + 5x)) = 0
(-42 + -30x + (7 * 9x + 5x * 9x)) = 0
(-42 + -30x + (63x + 45x2)) = 0

Combine like terms: -30x + 63x = 33x
(-42 + 33x + 45x2) = 0

Solving
-42 + 33x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + 11x + 15x2) = 0

Factor a trinomial.
3((-7 + -5x)(2 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 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 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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 = {-1.4, 0.6666666667}

See similar equations:

| 1.9z=13z | | w-1.14=9.3 | | -8t+1=-2(4t+8) | | 1.5u=36 | | -3(-6v+3)-6v=2(v-4)-5 | | h=48x-16x^2 | | y-2.4y+3.8=-5(y-5.8) | | -8u-14=-5u-5 | | 18x^2-25x+8=0 | | 6x^2+2x-8-12x^2= | | 4m-3=9-2 | | (x^2-6x)+(y^2-16y)=-9 | | 10=x-4-8x | | x^2-6x+y^2-16y+9=0 | | x^3-x^2-48=0 | | (6*100)/36 | | S^2+6s+6= | | 5(x+5)=-5(1+4x)+25x | | (x^2/5)/(x^2/3) | | 5(x+5)=-5(1+4x)+25 | | 3(x-2)-4x=-3(x+2)+2 | | 12t+6=-2(-6t-3) | | y=x^2+3x+0.25 | | .3y+.25=-.5y+.625 | | 10*cos(20*x)=x+2 | | 5x+8z=4+4y | | 2(5-1/2y)-7y=-6 | | (2x-1)=(x+31) | | t^3-3t^2+2t+4=0 | | 5x^2+2xy+2y^2-12x-6y+9=0 | | 7.7+8.1x=x+16.8 | | 6=.3x+5 |

Equations solver categories