-x^2+4x+5=1.5x-1

Simple and best practice solution for -x^2+4x+5=1.5x-1 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 -x^2+4x+5=1.5x-1 equation:


Simplifying
-1x2 + 4x + 5 = 1.5x + -1

Reorder the terms:
5 + 4x + -1x2 = 1.5x + -1

Reorder the terms:
5 + 4x + -1x2 = -1 + 1.5x

Solving
5 + 4x + -1x2 = -1 + 1.5x

Solving for variable 'x'.

Reorder the terms:
5 + 1 + 4x + -1.5x + -1x2 = -1 + 1.5x + 1 + -1.5x

Combine like terms: 5 + 1 = 6
6 + 4x + -1.5x + -1x2 = -1 + 1.5x + 1 + -1.5x

Combine like terms: 4x + -1.5x = 2.5x
6 + 2.5x + -1x2 = -1 + 1.5x + 1 + -1.5x

Reorder the terms:
6 + 2.5x + -1x2 = -1 + 1 + 1.5x + -1.5x

Combine like terms: -1 + 1 = 0
6 + 2.5x + -1x2 = 0 + 1.5x + -1.5x
6 + 2.5x + -1x2 = 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
6 + 2.5x + -1x2 = 0.0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-6 + -2.5x + x2 = 0.0

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + -2.5x + 6 + x2 = 0.0 + 6

Reorder the terms:
-6 + 6 + -2.5x + x2 = 0.0 + 6

Combine like terms: -6 + 6 = 0
0 + -2.5x + x2 = 0.0 + 6
-2.5x + x2 = 0.0 + 6

Combine like terms: 0.0 + 6 = 6
-2.5x + x2 = 6

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = 6 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = 6 + 1.5625

Combine like terms: 6 + 1.5625 = 7.5625
1.5625 + -2.5x + x2 = 7.5625

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = 7.5625

Calculate the square root of the right side: 2.75

Break this problem into two subproblems by setting 
(x + -1.25) equal to 2.75 and -2.75.

Subproblem 1

x + -1.25 = 2.75 Simplifying x + -1.25 = 2.75 Reorder the terms: -1.25 + x = 2.75 Solving -1.25 + x = 2.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = 2.75 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = 2.75 + 1.25 x = 2.75 + 1.25 Combine like terms: 2.75 + 1.25 = 4 x = 4 Simplifying x = 4

Subproblem 2

x + -1.25 = -2.75 Simplifying x + -1.25 = -2.75 Reorder the terms: -1.25 + x = -2.75 Solving -1.25 + x = -2.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = -2.75 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = -2.75 + 1.25 x = -2.75 + 1.25 Combine like terms: -2.75 + 1.25 = -1.5 x = -1.5 Simplifying x = -1.5

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4, -1.5}

See similar equations:

| 5(x+5)-4=26-6x-5+11x | | 1/8=x-3/4 | | 5(x+5)-4=26-6x-5+11 | | 4ab-2= | | 1/3(x-3)^2 | | -7=3+2k | | -5x-2(6x+15)=54 | | -x-2/y | | a16/a9 | | 8.2x-11.8=21 | | 7r=1/12 | | 6c=420 | | 55.4/10 | | 4y-10+4y=-6 | | 2x-35=25 | | 2x+2y=86findxvalue | | -48xyz-24xy+8xyz= | | 2x-35=35 | | 5.79/1000 | | 28m8k2/7m5 | | -5x-2(6x+15)=89 | | 80t+a^2=18a | | 30=h/5 | | -5y^2+12y-4=0 | | -5x+2(-4x+16)=162 | | x^2+33x-6048=0 | | -16y+9(7)=63 | | 3.9x=17.55 | | 160=2w+2(w+6) | | 43=5x+4(x-5) | | (y^2+xy^2)dx+(x^2+yx^2)dy=0 | | (m3c2)-5/(cm6)2 |

Equations solver categories