2(x-4)(7-2x)=0

Simple and best practice solution for 2(x-4)(7-2x)=0 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 2(x-4)(7-2x)=0 equation:


Simplifying
2(x + -4)(7 + -2x) = 0

Reorder the terms:
2(-4 + x)(7 + -2x) = 0

Multiply (-4 + x) * (7 + -2x)
2(-4(7 + -2x) + x(7 + -2x)) = 0
2((7 * -4 + -2x * -4) + x(7 + -2x)) = 0
2((-28 + 8x) + x(7 + -2x)) = 0
2(-28 + 8x + (7 * x + -2x * x)) = 0
2(-28 + 8x + (7x + -2x2)) = 0

Combine like terms: 8x + 7x = 15x
2(-28 + 15x + -2x2) = 0
(-28 * 2 + 15x * 2 + -2x2 * 2) = 0
(-56 + 30x + -4x2) = 0

Solving
-56 + 30x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 15x + -2x2) = 0

Factor a trinomial.
2((-4 + x)(7 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {4, 3.5}

See similar equations:

| -7x-(3x+2x)-x=0 | | 8y=2y-18 | | 3c+33=2c+22 | | 5x-8-3x=3x-5 | | 7u-2u=15 | | 4x+5=-8+2x+21 | | 36=3y+2x | | lnx+1ln-lnx=0 | | 715u-2u= | | 2w-3+3w(w-4)-5(w-6)= | | 4(x+4)=9x+2-5x+14 | | 10x+6=4x-6 | | -(x+1)=13 | | 3x-4+3x+3=-5x-2 | | 3x+7-2x=9+2x-5 | | p+3/4=10 | | 4(2+3x)=5x+1 | | 10-h=25 | | T=4xy | | 3X^3+2X^2=75X+50 | | 8-6x-4=-23+4x-13 | | 4a+32=2(-4-2a) | | 2m+3m=24 | | -1/7+5/6g=9 | | 48+48x-16x^2=0 | | (3x-12)2=(8x+4)2 | | 2x^2/3+3x^1/3-2=0 | | 5-1/3 | | 8x+4=50 | | 9T+1/4+T+4/8+T-2/8 | | .90*5= | | 12-3/2*y=4 |

Equations solver categories