7x^2-66x+25=0

Simple and best practice solution for 7x^2-66x+25=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 7x^2-66x+25=0 equation:


Simplifying
7x2 + -66x + 25 = 0

Reorder the terms:
25 + -66x + 7x2 = 0

Solving
25 + -66x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
3.571428571 + -9.428571429x + x2 = 0

Move the constant term to the right:

Add '-3.571428571' to each side of the equation.
3.571428571 + -9.428571429x + -3.571428571 + x2 = 0 + -3.571428571

Reorder the terms:
3.571428571 + -3.571428571 + -9.428571429x + x2 = 0 + -3.571428571

Combine like terms: 3.571428571 + -3.571428571 = 0.000000000
0.000000000 + -9.428571429x + x2 = 0 + -3.571428571
-9.428571429x + x2 = 0 + -3.571428571

Combine like terms: 0 + -3.571428571 = -3.571428571
-9.428571429x + x2 = -3.571428571

The x term is -9.428571429x.  Take half its coefficient (-4.714285715).
Square it (22.22448980) and add it to both sides.

Add '22.22448980' to each side of the equation.
-9.428571429x + 22.22448980 + x2 = -3.571428571 + 22.22448980

Reorder the terms:
22.22448980 + -9.428571429x + x2 = -3.571428571 + 22.22448980

Combine like terms: -3.571428571 + 22.22448980 = 18.653061229
22.22448980 + -9.428571429x + x2 = 18.653061229

Factor a perfect square on the left side:
(x + -4.714285715)(x + -4.714285715) = 18.653061229

Calculate the square root of the right side: 4.318918988

Break this problem into two subproblems by setting 
(x + -4.714285715) equal to 4.318918988 and -4.318918988.

Subproblem 1

x + -4.714285715 = 4.318918988 Simplifying x + -4.714285715 = 4.318918988 Reorder the terms: -4.714285715 + x = 4.318918988 Solving -4.714285715 + x = 4.318918988 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.714285715' to each side of the equation. -4.714285715 + 4.714285715 + x = 4.318918988 + 4.714285715 Combine like terms: -4.714285715 + 4.714285715 = 0.000000000 0.000000000 + x = 4.318918988 + 4.714285715 x = 4.318918988 + 4.714285715 Combine like terms: 4.318918988 + 4.714285715 = 9.033204703 x = 9.033204703 Simplifying x = 9.033204703

Subproblem 2

x + -4.714285715 = -4.318918988 Simplifying x + -4.714285715 = -4.318918988 Reorder the terms: -4.714285715 + x = -4.318918988 Solving -4.714285715 + x = -4.318918988 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.714285715' to each side of the equation. -4.714285715 + 4.714285715 + x = -4.318918988 + 4.714285715 Combine like terms: -4.714285715 + 4.714285715 = 0.000000000 0.000000000 + x = -4.318918988 + 4.714285715 x = -4.318918988 + 4.714285715 Combine like terms: -4.318918988 + 4.714285715 = 0.395366727 x = 0.395366727 Simplifying x = 0.395366727

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.033204703, 0.395366727}

See similar equations:

| p=2(18)+2(9) | | 5-2x=6x+21 | | Y=-27689X^2+3718.5x+679.13 | | (-6/5)*(-4)*(7/-3) | | 45xy-6xy^2= | | y=2x-x^3 | | 7*x/180 | | 7x/180 | | -3(v-4)=0 | | (4x-7)+y=90 | | (4x-7)+(2x-1)=90 | | (9x-7)+19+(3x-1)=180 | | 7x-17=5x-12 | | -2/3x+1/4+x=2/5 | | -3=7(-3)-5 | | 4(w+9)=-3(5w-6)+5w | | (9x-7)+19+y=180 | | 4a+1=33 | | 6v-12=8(v+1) | | 2=10(2)+3 | | 0=10(0)+3 | | (5/6)(12z-24)=(2/5)(25z-25) | | 3x-11+3x+125=180 | | 7a^2+25=-6 | | -3=10(-3)+3 | | 1/2k^2+3=245 | | -7=2x-y | | 4u-7=-31 | | X+4/5+12 | | 9a+7=88 | | 3x-3=(3/4)(2x+12) | | 7+h=-3 |

Equations solver categories