4x*x-12x-35=0

Simple and best practice solution for 4x*x-12x-35=0 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*x-12x-35=0 equation:


Simplifying
4x * x + -12x + -35 = 0

Multiply x * x
4x2 + -12x + -35 = 0

Reorder the terms:
-35 + -12x + 4x2 = 0

Solving
-35 + -12x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-8.75 + -3x + x2 = 0

Move the constant term to the right:

Add '8.75' to each side of the equation.
-8.75 + -3x + 8.75 + x2 = 0 + 8.75

Reorder the terms:
-8.75 + 8.75 + -3x + x2 = 0 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + -3x + x2 = 0 + 8.75
-3x + x2 = 0 + 8.75

Combine like terms: 0 + 8.75 = 8.75
-3x + x2 = 8.75

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 8.75 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 8.75 + 2.25

Combine like terms: 8.75 + 2.25 = 11
2.25 + -3x + x2 = 11

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 11

Calculate the square root of the right side: 3.31662479

Break this problem into two subproblems by setting 
(x + -1.5) equal to 3.31662479 and -3.31662479.

Subproblem 1

x + -1.5 = 3.31662479 Simplifying x + -1.5 = 3.31662479 Reorder the terms: -1.5 + x = 3.31662479 Solving -1.5 + x = 3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 3.31662479 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 3.31662479 + 1.5 x = 3.31662479 + 1.5 Combine like terms: 3.31662479 + 1.5 = 4.81662479 x = 4.81662479 Simplifying x = 4.81662479

Subproblem 2

x + -1.5 = -3.31662479 Simplifying x + -1.5 = -3.31662479 Reorder the terms: -1.5 + x = -3.31662479 Solving -1.5 + x = -3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -3.31662479 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -3.31662479 + 1.5 x = -3.31662479 + 1.5 Combine like terms: -3.31662479 + 1.5 = -1.81662479 x = -1.81662479 Simplifying x = -1.81662479

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.81662479, -1.81662479}

See similar equations:

| 4(x+2)+48=-4x | | 10x+5=11x-5 | | 5(-3)(4-7)+9=49 | | 2x+11=-9x-8x | | 9x+2=5x+18 | | h+b+h+b= | | 9(x+5)+3(x+5)=5x-5 | | 6+4x-2=9x+4-4r | | -25+5x=50 | | 3/10-3/56 | | 3(-4)=-12 | | 1/6(4x+70)=3x | | 2x+36=48 | | 10(t-5)+4t=7(t+5)-9 | | 2y+84=106 | | 6+(-7/4) | | 5(x-6y)= | | -7x+x-7-4x+3=6(X-2)x+19 | | 3.25n=-39 | | 3.25=-39 | | (25/36)=x | | 3=-1-j | | -26+n=39 | | 1/4*-7 | | p+1=-1 | | n/3.25=4 | | (4-2y)/2 | | 2(x+5)=4x-1 | | 1=-2-j | | j-2=4 | | 5x^2+48x+36/10x^2+48x | | x^3+6x^2= |

Equations solver categories