4x^2-15x+13=5x+4

Simple and best practice solution for 4x^2-15x+13=5x+4 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^2-15x+13=5x+4 equation: 


Simplifying
4x2 + -15x + 13 = 5x + 4

Reorder the terms:
13 + -15x + 4x2 = 5x + 4

Reorder the terms:
13 + -15x + 4x2 = 4 + 5x

Solving
13 + -15x + 4x2 = 4 + 5x

Solving for variable 'x'.

Reorder the terms:
13 + -4 + -15x + -5x + 4x2 = 4 + 5x + -4 + -5x

Combine like terms: 13 + -4 = 9
9 + -15x + -5x + 4x2 = 4 + 5x + -4 + -5x

Combine like terms: -15x + -5x = -20x
9 + -20x + 4x2 = 4 + 5x + -4 + -5x

Reorder the terms:
9 + -20x + 4x2 = 4 + -4 + 5x + -5x

Combine like terms: 4 + -4 = 0
9 + -20x + 4x2 = 0 + 5x + -5x
9 + -20x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -20x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(9 + -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 '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0.5, 4.5}

See similar equations:

| -10=p+(-3) | | 12x^7+20x^6+44x^4= | | 16x^4-48x^3+108x-81=0 | | -15=4+b | | 15x-15=15x-15 | | -27=-15+a | | .34x=1.7 | | 3=5+b | | x^3+3x^2+2x-13800=0 | | 12m+30+8m-6=10 | | 7=16+n | | 9.5x=123.5 | | 10-3m-6-9m=7 | | -1300-29035=f | | 72=-8p | | 35-11x=17+7x | | 0=x^2-x | | -7z=-42 | | -2x/4-4/4=0 | | 4/20=n/35 | | 3x^3-10x^2-9x+30=0 | | -20x=20 | | (-18/13)x+14(7/13)=(15/17)x+18(14/17) | | 4.9t^2-106.066t-10=0 | | 21(32+6g)=g | | (8-3x+1)=-23(x+1) | | x^2+13x+46=-2x+2 | | -7=x+(-10) | | -10+x=-(x-10) | | 21(21-21)=43 | | 16=0.002x | | 21(21-21)=21 |

Equations solver categories