(x-3)*(5x-4)=5x-15

Simple and best practice solution for (x-3)*(5x-4)=5x-15 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 (x-3)*(5x-4)=5x-15 equation: 


Simplifying
(x + -3)(5x + -4) = 5x + -15

Reorder the terms:
(-3 + x)(5x + -4) = 5x + -15

Reorder the terms:
(-3 + x)(-4 + 5x) = 5x + -15

Multiply (-3 + x) * (-4 + 5x)
(-3(-4 + 5x) + x(-4 + 5x)) = 5x + -15
((-4 * -3 + 5x * -3) + x(-4 + 5x)) = 5x + -15
((12 + -15x) + x(-4 + 5x)) = 5x + -15
(12 + -15x + (-4 * x + 5x * x)) = 5x + -15
(12 + -15x + (-4x + 5x2)) = 5x + -15

Combine like terms: -15x + -4x = -19x
(12 + -19x + 5x2) = 5x + -15

Reorder the terms:
12 + -19x + 5x2 = -15 + 5x

Solving
12 + -19x + 5x2 = -15 + 5x

Solving for variable 'x'.

Reorder the terms:
12 + 15 + -19x + -5x + 5x2 = -15 + 5x + 15 + -5x

Combine like terms: 12 + 15 = 27
27 + -19x + -5x + 5x2 = -15 + 5x + 15 + -5x

Combine like terms: -19x + -5x = -24x
27 + -24x + 5x2 = -15 + 5x + 15 + -5x

Reorder the terms:
27 + -24x + 5x2 = -15 + 15 + 5x + -5x

Combine like terms: -15 + 15 = 0
27 + -24x + 5x2 = 0 + 5x + -5x
27 + -24x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
27 + -24x + 5x2 = 0

Factor a trinomial.
(9 + -5x)(3 + -1x) = 0


Subproblem 1
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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 = {1.8, 3}

See similar equations:

| -3(2x-3)=26 | | 10x=740 | | (x-3)x(5x-4)=5x-15 | | (8+x)+4=2x-6 | | (X+10)-4=3 | | 3[j+3]-3=30 | | y=m^2+4m-5 | | 81-11.70= | | -3+4(-n+8)=-3(7-2n) | | -3(x+15)+9=-30 | | 6a+7a-5=8 | | 3x-5=2x+8+x | | (3x+2)(2x+180)=90 | | 9(x-7)=12x-(7-x) | | 7s=91 | | 76=4(h+2) | | 4(2x-1)=3(X+3) | | 2x^3-15x^2=8x | | -8(x-7)+5(7x+3)=17 | | 4=c-1 | | 6x-7=2(x+14) | | 3x+9+8x=5x-3 | | j-10=-7 | | b-1=-3 | | (e+3)*4=32 | | 5x+5=2x+22 | | 2+2x+6=5x-25 | | c=5oh-20 | | 2(a+5)=3a-8 | | 2+6(x+8)=10-6x | | -26=4x+2 | | f(x)=tg^2(5x) |

Equations solver categories