4(2x-3)(x-5)=0

Simple and best practice solution for 4(2x-3)(x-5)=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 4(2x-3)(x-5)=0 equation: 


Simplifying
4(2x + -3)(x + -5) = 0

Reorder the terms:
4(-3 + 2x)(x + -5) = 0

Reorder the terms:
4(-3 + 2x)(-5 + x) = 0

Multiply (-3 + 2x) * (-5 + x)
4(-3(-5 + x) + 2x * (-5 + x)) = 0
4((-5 * -3 + x * -3) + 2x * (-5 + x)) = 0
4((15 + -3x) + 2x * (-5 + x)) = 0
4(15 + -3x + (-5 * 2x + x * 2x)) = 0
4(15 + -3x + (-10x + 2x2)) = 0

Combine like terms: -3x + -10x = -13x
4(15 + -13x + 2x2) = 0
(15 * 4 + -13x * 4 + 2x2 * 4) = 0
(60 + -52x + 8x2) = 0

Solving
60 + -52x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -13x + 2x2) = 0

Factor a trinomial.
4((3 + -2x)(5 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.5, 5}

See similar equations:

| 17-3y+2y=-2 | | 7/10-12= | | 7/10-12=x | | 20x^2-80x+4=0 | | p^8q^2/p^6q= | | 3(2y+4)=(y+7)-2 | | 15x-10=60 | | 58x+52=-78x-78 | | 2x^3*5x= | | (2x+1)(x+4)=6 | | lgx=15 | | 14(x-5)=6(x+1) | | -78x+52=-58-78 | | 4x^(3/2)-28=0 | | 5x+6y+6x+7y= | | 17x-4=x^2+8x+16 | | log(x+7)=x^2-63+5 | | 5=3/(w-2) | | 6x-14=4x+10 | | 8=4c+12 | | 9(8+3y)-y=44 | | 32x+9y+40= | | 8c^3-200c=0 | | 9(8+3y)=44 | | (2/3×4/5)÷1/3 | | 2x^4-x^3-6x^2+107x^2-52=0 | | x+200= | | 8u^2-28u=0 | | 6n^2-.42=0 | | 5x+8=4x+9 | | 10/30=5/3 | | 18x+7y=19solvey |

Equations solver categories