(5x-6)(3x+7)=

Simple and best practice solution for (5x-6)(3x+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 (5x-6)(3x+7)= equation: 


Simplifying
(5x + -6)(3x + 7) = 0

Reorder the terms:
(-6 + 5x)(3x + 7) = 0

Reorder the terms:
(-6 + 5x)(7 + 3x) = 0

Multiply (-6 + 5x) * (7 + 3x)
(-6(7 + 3x) + 5x * (7 + 3x)) = 0
((7 * -6 + 3x * -6) + 5x * (7 + 3x)) = 0
((-42 + -18x) + 5x * (7 + 3x)) = 0
(-42 + -18x + (7 * 5x + 3x * 5x)) = 0
(-42 + -18x + (35x + 15x2)) = 0

Combine like terms: -18x + 35x = 17x
(-42 + 17x + 15x2) = 0

Solving
-42 + 17x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(6 + -5x) = 0


Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 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 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 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 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-2.333333333, 1.2}

See similar equations:

| n^2+32n+240=0 | | 4.2=n-1.6 | | 2(6x+2)= | | 8x-y-23=0 | | 36a^4+27a^3b= | | 8x+y+23=0 | | 15xy+25x+9y+15=0 | | 24x^2-20x=56 | | 11a^3b-2a^2b^4= | | ln(x)+ln(x-2)=ln(4x) | | 3x-20=-155 | | 4q^2+9q-9=0 | | 4x+7=22+7x | | 3(4x-1)+11=5x+22 | | 1=-11+12 | | 15y-7=0 | | (-2x^2+6x+1)-2(4x^2-3x+1)=0 | | 13x-8+3-2= | | 10x-8y-12+6y-15x+20-(3x+7)= | | t^2+64=0 | | -10-3x+7x=6 | | 3=-11+4 | | -10/a-0.5=2 | | (3y-7x+7)dx+(7y-3x+3)dy=0 | | 10x+8y-12+6y-15x+20= | | log[3](45)-log[3]x=log[3]9 | | 3(4x-1)+11=5x+23 | | 49k^2=-294-385k | | 10x-8y-12+6y-15x+20= | | 0.2(w-10*4)=65 | | 4x-13=5+2x | | 7a+2=7 |

Equations solver categories