4-2.5x(x-6)=3+7x

Simple and best practice solution for 4-2.5x(x-6)=3+7x 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 4-2.5x(x-6)=3+7x equation:


Simplifying
4 + -2.5x(x + -6) = 3 + 7x

Reorder the terms:
4 + -2.5x(-6 + x) = 3 + 7x
4 + (-6 * -2.5x + x * -2.5x) = 3 + 7x
4 + (15x + -2.5x2) = 3 + 7x

Solving
4 + 15x + -2.5x2 = 3 + 7x

Solving for variable 'x'.

Reorder the terms:
4 + -3 + 15x + -7x + -2.5x2 = 3 + 7x + -3 + -7x

Combine like terms: 4 + -3 = 1
1 + 15x + -7x + -2.5x2 = 3 + 7x + -3 + -7x

Combine like terms: 15x + -7x = 8x
1 + 8x + -2.5x2 = 3 + 7x + -3 + -7x

Reorder the terms:
1 + 8x + -2.5x2 = 3 + -3 + 7x + -7x

Combine like terms: 3 + -3 = 0
1 + 8x + -2.5x2 = 0 + 7x + -7x
1 + 8x + -2.5x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
1 + 8x + -2.5x2 = 0

Begin completing the square.  Divide all terms by
-2.5 the coefficient of the squared term: 

Divide each side by '-2.5'.
-0.4 + -3.2x + x2 = 0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + -3.2x + 0.4 + x2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + -3.2x + x2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -3.2x + x2 = 0 + 0.4
-3.2x + x2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
-3.2x + x2 = 0.4

The x term is -3.2x.  Take half its coefficient (-1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
-3.2x + 2.56 + x2 = 0.4 + 2.56

Reorder the terms:
2.56 + -3.2x + x2 = 0.4 + 2.56

Combine like terms: 0.4 + 2.56 = 2.96
2.56 + -3.2x + x2 = 2.96

Factor a perfect square on the left side:
(x + -1.6)(x + -1.6) = 2.96

Calculate the square root of the right side: 1.720465053

Break this problem into two subproblems by setting 
(x + -1.6) equal to 1.720465053 and -1.720465053.

Subproblem 1

x + -1.6 = 1.720465053 Simplifying x + -1.6 = 1.720465053 Reorder the terms: -1.6 + x = 1.720465053 Solving -1.6 + x = 1.720465053 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + x = 1.720465053 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + x = 1.720465053 + 1.6 x = 1.720465053 + 1.6 Combine like terms: 1.720465053 + 1.6 = 3.320465053 x = 3.320465053 Simplifying x = 3.320465053

Subproblem 2

x + -1.6 = -1.720465053 Simplifying x + -1.6 = -1.720465053 Reorder the terms: -1.6 + x = -1.720465053 Solving -1.6 + x = -1.720465053 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + x = -1.720465053 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + x = -1.720465053 + 1.6 x = -1.720465053 + 1.6 Combine like terms: -1.720465053 + 1.6 = -0.120465053 x = -0.120465053 Simplifying x = -0.120465053

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.320465053, -0.120465053}

See similar equations:

| -.006x^2-.107x-.194=0 | | 13y=12y-8 | | 0.3+0.89=5.321 | | 5r^2+5r-1=0 | | -10=1-3v-8v | | 4x-3x+9=3x+12 | | (a/5)=-16 | | x^3+7x^2-14x-120=0 | | -3.6(p+16.9)=-17.28 | | -2(x+4)=24 | | 2(2x)+4x=50 | | 3*1-5*y=9 | | n-(1/3)=(2/5) | | 3[5(x-3)+2(x+9)]=5[2(x+3)+2(x-7)] | | 7(7-(-5x-4))=175x+189 | | 15y=14y+126 | | 18-2(x-2)=8x-10+4x | | 6-2(3x+2)=-12 | | -4y^2-33y-35=0 | | -(3/4)m=-(9/16) | | -4y^2-33-35=0 | | =5*x+1 | | -4y^2-337-35=0 | | 5-(2x+3)=-11 | | 0.5(2x-1)=h | | L+1.5l+26=76 | | x+2-7x=2 | | 14y=13y+196 | | -14.82=r+11.28 | | -2(a+3)=-50 | | (x-2)-8=10 | | w-(2/9)=(5/9) |

Equations solver categories