2x^2-15x=-3x^2-8x-2

Simple and best practice solution for 2x^2-15x=-3x^2-8x-2 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 2x^2-15x=-3x^2-8x-2 equation: 


Simplifying
2x2 + -15x = -3x2 + -8x + -2

Reorder the terms:
-15x + 2x2 = -3x2 + -8x + -2

Reorder the terms:
-15x + 2x2 = -2 + -8x + -3x2

Solving
-15x + 2x2 = -2 + -8x + -3x2

Solving for variable 'x'.

Reorder the terms:
2 + -15x + 8x + 2x2 + 3x2 = -2 + -8x + -3x2 + 2 + 8x + 3x2

Combine like terms: -15x + 8x = -7x
2 + -7x + 2x2 + 3x2 = -2 + -8x + -3x2 + 2 + 8x + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
2 + -7x + 5x2 = -2 + -8x + -3x2 + 2 + 8x + 3x2

Reorder the terms:
2 + -7x + 5x2 = -2 + 2 + -8x + 8x + -3x2 + 3x2

Combine like terms: -2 + 2 = 0
2 + -7x + 5x2 = 0 + -8x + 8x + -3x2 + 3x2
2 + -7x + 5x2 = -8x + 8x + -3x2 + 3x2

Combine like terms: -8x + 8x = 0
2 + -7x + 5x2 = 0 + -3x2 + 3x2
2 + -7x + 5x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
2 + -7x + 5x2 = 0

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


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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0.4, 1}

See similar equations:

| 76-658464m-65856585648564957495740574057405749m=7 | | 5h-24=36 | | m/7=48 | | 2x+4=4x+6 | | 4j-4=10 | | 6(2m+-3)+-3m=2m+-18+m | | 2x+4=4x+8 | | 30x^2+42x= | | .75x-5=3 | | -x+6+3x=20 | | 10x^2+35x= | | -4x^2=2x | | 5/x=8/6 | | 12t^2+13t-35=0 | | 8(659464-7649x)=649x(8x+64x) | | 3/4x-10=38 | | 100000000x-(96+x)=68 | | 18.4=2.3*n | | 8(h-9)=8n | | 0.5(5x+10)=1.2-(x+2) | | 5/x=7/12 | | 2[2y-1]+5=19 | | 2(x+3)=3(x+1)-2x | | 12x^2+32x= | | 72+12m=264 | | 4x+18=54 | | 2(x+3)=3(x+1)-x | | 28n-56=168 | | 4p+2=8+6p | | (2/3)x+(5/8)=(-1/3)x+(1/4) | | 26-5=8b+1 | | 5x^4+7x^2+3=0 |

Equations solver categories