3x(5x-8)=4x(3x+7)

Simple and best practice solution for 3x(5x-8)=4x(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 3x(5x-8)=4x(3x+7) equation: 


Simplifying
3x(5x + -8) = 4x(3x + 7)

Reorder the terms:
3x(-8 + 5x) = 4x(3x + 7)
(-8 * 3x + 5x * 3x) = 4x(3x + 7)
(-24x + 15x2) = 4x(3x + 7)

Reorder the terms:
-24x + 15x2 = 4x(7 + 3x)
-24x + 15x2 = (7 * 4x + 3x * 4x)
-24x + 15x2 = (28x + 12x2)

Solving
-24x + 15x2 = 28x + 12x2

Solving for variable 'x'.

Reorder the terms:
-24x + -28x + 15x2 + -12x2 = 28x + 12x2 + -28x + -12x2

Combine like terms: -24x + -28x = -52x
-52x + 15x2 + -12x2 = 28x + 12x2 + -28x + -12x2

Combine like terms: 15x2 + -12x2 = 3x2
-52x + 3x2 = 28x + 12x2 + -28x + -12x2

Reorder the terms:
-52x + 3x2 = 28x + -28x + 12x2 + -12x2

Combine like terms: 28x + -28x = 0
-52x + 3x2 = 0 + 12x2 + -12x2
-52x + 3x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-52x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-52 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-52 + 3x)' equal to zero and attempt to solve:

Simplifying
-52 + 3x = 0

Solving
-52 + 3x = 0

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

Add '52' to each side of the equation.
-52 + 52 + 3x = 0 + 52

Combine like terms: -52 + 52 = 0
0 + 3x = 0 + 52
3x = 0 + 52

Combine like terms: 0 + 52 = 52
3x = 52

Divide each side by '3'.
x = 17.33333333

Simplifying
x = 17.33333333
Solution
x = {0, 17.33333333}

See similar equations:

| 8h-17=39 | | 30-18x/6 | | 12a^6/8a^4 | | -4x-4x-7=-3x-4x | | 11+y=5 | | sin*2x=sin*.5x | | 15x-7=14x+27 | | 14x/2=-75 | | 15x-7=14x | | .5x+.9y=140 | | 7n+40=2n+(8*8)-4 | | 9-3(x-4)=-17 | | 4(x+2)=(x+2)10 | | 5(q+9)=90 | | 4y^2+4x+1=0 | | 9954.89=.05(1207142.57-x) | | a/3-10=16-2 | | 1.50x+(1.10)(30)=(.90)(x+30) | | -7(2t+2)=-98 | | 4(r+5)=12 | | .2(60)+.05x=.10(60+x) | | 3(f-7)=-24 | | 6(y-2)+7=-12 | | 50x^2-3x+3=0 | | 6n+13=39-7n | | 9954.89=.08(1207142.57-x) | | -8(s+5)=-4 | | 2n-5=8n-7 | | 8x+8=9x+14 | | 3n-8+8=n | | 4!/(5!2!)= | | 3v+15=5v-1 |

Equations solver categories