4x^2-19x+15=-7x+10

Simple and best practice solution for 4x^2-19x+15=-7x+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^2-19x+15=-7x+10 equation: 


Simplifying
4x2 + -19x + 15 = -7x + 10

Reorder the terms:
15 + -19x + 4x2 = -7x + 10

Reorder the terms:
15 + -19x + 4x2 = 10 + -7x

Solving
15 + -19x + 4x2 = 10 + -7x

Solving for variable 'x'.

Reorder the terms:
15 + -10 + -19x + 7x + 4x2 = 10 + -7x + -10 + 7x

Combine like terms: 15 + -10 = 5
5 + -19x + 7x + 4x2 = 10 + -7x + -10 + 7x

Combine like terms: -19x + 7x = -12x
5 + -12x + 4x2 = 10 + -7x + -10 + 7x

Reorder the terms:
5 + -12x + 4x2 = 10 + -10 + -7x + 7x

Combine like terms: 10 + -10 = 0
5 + -12x + 4x2 = 0 + -7x + 7x
5 + -12x + 4x2 = -7x + 7x

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

| 12x^2-15x=11 | | 12x-13=83 | | 3(7x-4b+10)= | | -5x-7x=60 | | x^3+2x^2-24x^1=5 | | -67=5+9x | | 4(x(1-x))=1 | | 3(8+36)=0 | | x(1-x)=1 | | 10k^3+67k^2=107k+24 | | 3(x)-4(2x)=12(1)-2(5x) | | 6(2e+4)=3e-21 | | 12(2x-2)=3(8x+5) | | 5+2s-2=9s+33-2s | | 4x+8+2x=16 | | 3x^2+12x+20=245 | | 2x+9=21-3x | | 7z+14z=168 | | 2x-5(7-13x)=4+6(12-4x) | | 6m(m-1)=3(1-m) | | 6x+4=64+x | | 4.9+h=15 | | -4x-12x=64 | | 0.05(4-x)=0.03(x-8)+0.04 | | 90=10(4y+1) | | 7d+5=2 | | -8(3b+4)+(25b-9)=0 | | 5.3x-3.3=7.95-2.2x | | 10t-13t+4= | | 3(v+4)=-9v-24 | | 12x^2-88x+96=0 | | 2.1-8.1=3.15-5.4x |

Equations solver categories