4x^2-4x-6=

Simple and best practice solution for 4x^2-4x-6= 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^2-4x-6= equation:


Simplifying
4x2 + -4x + -6 = 0

Reorder the terms:
-6 + -4x + 4x2 = 0

Solving
-6 + -4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -2x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -2x + 2x2)' equal to zero and attempt to solve: Simplifying -3 + -2x + 2x2 = 0 Solving -3 + -2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + -1x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -1x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -1x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1x + x2 = 0 + 1.5 -1x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -1x + x2 = 1.5 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = 1.5 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 1.5 + 0.25 Combine like terms: 1.5 + 0.25 = 1.75 0.25 + -1x + x2 = 1.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 1.75 Calculate the square root of the right side: 1.322875656 Break this problem into two subproblems by setting (x + -0.5) equal to 1.322875656 and -1.322875656.

Subproblem 1

x + -0.5 = 1.322875656 Simplifying x + -0.5 = 1.322875656 Reorder the terms: -0.5 + x = 1.322875656 Solving -0.5 + x = 1.322875656 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 1.322875656 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 1.322875656 + 0.5 x = 1.322875656 + 0.5 Combine like terms: 1.322875656 + 0.5 = 1.822875656 x = 1.822875656 Simplifying x = 1.822875656

Subproblem 2

x + -0.5 = -1.322875656 Simplifying x + -0.5 = -1.322875656 Reorder the terms: -0.5 + x = -1.322875656 Solving -0.5 + x = -1.322875656 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -1.322875656 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -1.322875656 + 0.5 x = -1.322875656 + 0.5 Combine like terms: -1.322875656 + 0.5 = -0.822875656 x = -0.822875656 Simplifying x = -0.822875656

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.822875656, -0.822875656}

Solution

x = {1.822875656, -0.822875656}

See similar equations:

| 4x*x*x+12x*x-x-15= | | 6(k-4)=6-(6-4k) | | -4=x/7 | | 3u^4+12u^3+42u^2=0 | | 1/34p-11=p+4 | | (y+9)(y-9)=0 | | 19x-10-11x=4(2x-3)+2 | | 2.70/1=0.954/197*109*x | | -10+2y=-2 | | 3p+1=40 | | 5(n+2)=3*5(5+10n) | | 3x+6=3(x-1)-10x | | 19+(-9)+45+(-32)= | | 3x+6=3(x-1)-9x | | 325=17.6t+0.528t^2 | | -35x+28=30-36x | | 5x^5+31x^4-28x^3=0 | | 2x+1.8X=-9.87+5.9X | | 3x+6=99(5+x)-6x+7 | | 6u^6+24u^5+24u^4=0 | | x-(-9)=17 | | -35=6(5d-2) | | 5x+9=2(2x+1) | | 3x+6=5x-6+7x | | z/4+1=7-z/4 | | ((2x+3)^2/3)+((2x+3)^1/3)-6=0 | | 25/24=9/4x+4x | | 6y^5-20y^4-16y^3=0 | | 11/5-3/5 | | 3x+6=4x+5x-7 | | 15r+90=45r-90 | | (2x+3)^2/3+(2x+3)^1/3-6=0 |

Equations solver categories