(5x-3)(x+2)=60

Simple and best practice solution for (5x-3)(x+2)=60 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-3)(x+2)=60 equation: 


Simplifying
(5x + -3)(x + 2) = 60

Reorder the terms:
(-3 + 5x)(x + 2) = 60

Reorder the terms:
(-3 + 5x)(2 + x) = 60

Multiply (-3 + 5x) * (2 + x)
(-3(2 + x) + 5x * (2 + x)) = 60
((2 * -3 + x * -3) + 5x * (2 + x)) = 60
((-6 + -3x) + 5x * (2 + x)) = 60
(-6 + -3x + (2 * 5x + x * 5x)) = 60
(-6 + -3x + (10x + 5x2)) = 60

Combine like terms: -3x + 10x = 7x
(-6 + 7x + 5x2) = 60

Solving
-6 + 7x + 5x2 = 60

Solving for variable 'x'.

Reorder the terms:
-6 + -60 + 7x + 5x2 = 60 + -60

Combine like terms: -6 + -60 = -66
-66 + 7x + 5x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-66 + 7x + 5x2 = 0

Factor a trinomial.
(-22 + -5x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-22 + -5x)' equal to zero and attempt to solve:

Simplifying
-22 + -5x = 0

Solving
-22 + -5x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -5x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -5x = 0 + 22
-5x = 0 + 22

Combine like terms: 0 + 22 = 22
-5x = 22

Divide each side by '-5'.
x = -4.4

Simplifying
x = -4.4

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4.4, 3}

See similar equations:

| 2x^2-9x+14=0 | | 144=5x/78 | | 12x-3/x-5 | | (12x-3)/x-5 | | 5+25=72 | | 7x^4+28x^3-147x^2=0 | | 1/3(x-2)=1/5(x | | 2(2x+2)=64 | | 55-2x=8x | | x^4-24x^2+4x=-240 | | n-34=56 | | -4x-28=4(x-9) | | X^3-9x^2+4x-12=0 | | 9+8y-3y^2+6y+2-4y^2= | | U^2+9u+18= | | 3-10v+9v-9-v= | | (6y-5)(3y+9)= | | f(x)=4+5x+e^5 | | 4.9x^2+24x=13 | | mn+m= | | 6x-24=x-5 | | 4.9x^2+24x-13=0 | | x=5+0.5x | | y=ln61(11/x) | | 2x+14=x-5 | | hbt=2pifort | | 8(t-2)+6t=7(2t+4)-9 | | -8u+5(u-5)=-4 | | 2=2(m-8)-5 | | 3p+2=11+2p | | 9(4x-3)=3(12x+9) | | -4+(2x^2)=x+7 |

Equations solver categories