4x^2-13x+10=-2x+3

Simple and best practice solution for 4x^2-13x+10=-2x+3 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^2-13x+10=-2x+3 equation: 


Simplifying
4x2 + -13x + 10 = -2x + 3

Reorder the terms:
10 + -13x + 4x2 = -2x + 3

Reorder the terms:
10 + -13x + 4x2 = 3 + -2x

Solving
10 + -13x + 4x2 = 3 + -2x

Solving for variable 'x'.

Reorder the terms:
10 + -3 + -13x + 2x + 4x2 = 3 + -2x + -3 + 2x

Combine like terms: 10 + -3 = 7
7 + -13x + 2x + 4x2 = 3 + -2x + -3 + 2x

Combine like terms: -13x + 2x = -11x
7 + -11x + 4x2 = 3 + -2x + -3 + 2x

Reorder the terms:
7 + -11x + 4x2 = 3 + -3 + -2x + 2x

Combine like terms: 3 + -3 = 0
7 + -11x + 4x2 = 0 + -2x + 2x
7 + -11x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
7 + -11x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(7 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {1, 1.75}

See similar equations:

| y=5x-6y | | 23=8+20 | | a+8a-3a=41 | | 20-3w=10-2w | | 2x+2(11.5-2x)=11.5 | | 3z/7-6=-4 | | 5x+4x=-9-18 | | X^1/5=4 | | 10-6v=103 | | x^2-5x+22=7x+2 | | -3(7+3x)=111 | | 12x=e^30 | | 1.49x=7.45 | | 6(w-4)-1=-3(-9w+7)-7w | | 2m+18=3m-6 | | 4x+20=3x-22 | | x^2+10x-44=4x-4 | | -1.7+1.5=6.6 | | 1+8x+x-9=19 | | 3m7/m-1 | | -6(4+3x)=156 | | 4(x+5)=10x+4 | | 4(y+3)-12=116 | | -5(w+3)=-8w-18 | | W-10=26 | | -12n+6-11n-1=6 | | 8y+24=4y+20 | | 4x^2-15x+24=2x+9 | | 8x-12=5x+24 | | -7(4+7x)=413 | | 2x-6+9=4x+3 | | -2=-4w+2(w+7) |

Equations solver categories