4x^2-7x+15=5x+10

Simple and best practice solution for 4x^2-7x+15=5x+10 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^2-7x+15=5x+10 equation: 


Simplifying
4x2 + -7x + 15 = 5x + 10

Reorder the terms:
15 + -7x + 4x2 = 5x + 10

Reorder the terms:
15 + -7x + 4x2 = 10 + 5x

Solving
15 + -7x + 4x2 = 10 + 5x

Solving for variable 'x'.

Reorder the terms:
15 + -10 + -7x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: 15 + -10 = 5
5 + -7x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: -7x + -5x = -12x
5 + -12x + 4x2 = 10 + 5x + -10 + -5x

Reorder the terms:
5 + -12x + 4x2 = 10 + -10 + 5x + -5x

Combine like terms: 10 + -10 = 0
5 + -12x + 4x2 = 0 + 5x + -5x
5 + -12x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -12x + 4x2 = 0

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


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.5, 2.5}

See similar equations:

| -3(x-5)+6=5(2x+3)-7 | | 9(x+3)=-27-9x | | 2y=5y+1 | | 5pm+8=3p+10-2 | | 21-13=4(x-3) | | 35x^2+22n+3=0 | | 112-4x=41x+17 | | x=90+(-26)+(-2)+(-15) | | 8x-4=-8-20 | | 5A+6A=22 | | -24x^2+6=0 | | (3y-5)(-3y^2+7y+1)= | | 13-10x=93-24x | | X^4+4x^2-3=0 | | 2000/40= | | 10-9x=175-44x | | x=-35+(-44) | | -2.2+3.15/5=13.5 | | -7+(-18)+(-29)+11=x | | 17x^2-3x=0 | | 67-2x=3x+12 | | x+6x+3X+9=X+4X+4X+1X+1 | | 28+10=x | | 3x+26=8x+5 | | -2.2+x/5=13.5 | | t(t-2)=22.5 | | 24+-1+6+10=x | | 2(6x+1)+3(x-1)=59 | | -8-5x=6 | | C+3-2c-1-3c=2 | | 5x+28=14x-62 | | -6y-2=1-5y |

Equations solver categories