4x(x-5)=-2(x^2+3x)

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


Simplifying
4x(x + -5) = -2(x2 + 3x)

Reorder the terms:
4x(-5 + x) = -2(x2 + 3x)
(-5 * 4x + x * 4x) = -2(x2 + 3x)
(-20x + 4x2) = -2(x2 + 3x)

Reorder the terms:
-20x + 4x2 = -2(3x + x2)
-20x + 4x2 = (3x * -2 + x2 * -2)
-20x + 4x2 = (-6x + -2x2)

Solving
-20x + 4x2 = -6x + -2x2

Solving for variable 'x'.

Reorder the terms:
-20x + 6x + 4x2 + 2x2 = -6x + -2x2 + 6x + 2x2

Combine like terms: -20x + 6x = -14x
-14x + 4x2 + 2x2 = -6x + -2x2 + 6x + 2x2

Combine like terms: 4x2 + 2x2 = 6x2
-14x + 6x2 = -6x + -2x2 + 6x + 2x2

Reorder the terms:
-14x + 6x2 = -6x + 6x + -2x2 + 2x2

Combine like terms: -6x + 6x = 0
-14x + 6x2 = 0 + -2x2 + 2x2
-14x + 6x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-14x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-7 + 3x) = 0

Ignore the factor 2.

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 '(-7 + 3x)' equal to zero and attempt to solve:

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 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 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0, 2.333333333}

See similar equations:

| 5181180=15*480*(760-x) | | -12x-13=-8x-3 | | x-3=8x-7 | | (6x+2)(x-2)= | | 3x^2+24x-114=0 | | (2x-9)(x-11)= | | -6(3m+7)+3(m-7)= | | (y-6)(4y-1)= | | (3y-5)(2y-7)= | | (5x-6)(x+2)= | | 9a-4=77 | | 24+57= | | (y-12)(y+4)= | | 9(2x-3)+5=5(6-7x) | | 114/2= | | (x-5)(x+10)= | | (x+5)(x+1)= | | -9x=-18 | | 138-24= | | 5(4x+4)=20x+20 | | 8-x=9 | | 9x^2+14x-3=0 | | 4x-6=-20 | | 9p^2+45P=0 | | 7x+21=14x^2 | | 7xy-y^2= | | -3x+8=-6x+6 | | (3+b)(2-5b-3b^2)= | | 6n^2-36n=0 | | (2a-3)(5a^2-6a+4)= | | x+67=105 | | (a+2)(a^3-3a^2+7)= |

Equations solver categories