625=(x^2)+(x^2)+6x+9

Simple and best practice solution for 625=(x^2)+(x^2)+6x+9 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 625=(x^2)+(x^2)+6x+9 equation:


Simplifying
625 = (x2) + (x2) + 6x + 9
625 = x2 + (x2) + 6x + 9
625 = x2 + x2 + 6x + 9

Reorder the terms:
625 = 9 + 6x + x2 + x2

Combine like terms: x2 + x2 = 2x2
625 = 9 + 6x + 2x2

Solving
625 = 9 + 6x + 2x2

Solving for variable 'x'.

Combine like terms: 625 + -9 = 616
616 + -6x + -2x2 = 9 + 6x + 2x2 + -9 + -6x + -2x2

Reorder the terms:
616 + -6x + -2x2 = 9 + -9 + 6x + -6x + 2x2 + -2x2

Combine like terms: 9 + -9 = 0
616 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
616 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
616 + -6x + -2x2 = 0 + 2x2 + -2x2
616 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
616 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(308 + -3x + -1x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(308 + -3x + -1x2)' equal to zero and attempt to solve: Simplifying 308 + -3x + -1x2 = 0 Solving 308 + -3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -308 + 3x + x2 = 0 Move the constant term to the right: Add '308' to each side of the equation. -308 + 3x + 308 + x2 = 0 + 308 Reorder the terms: -308 + 308 + 3x + x2 = 0 + 308 Combine like terms: -308 + 308 = 0 0 + 3x + x2 = 0 + 308 3x + x2 = 0 + 308 Combine like terms: 0 + 308 = 308 3x + x2 = 308 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 = 308 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 308 + 2.25 Combine like terms: 308 + 2.25 = 310.25 2.25 + 3x + x2 = 310.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 310.25 Calculate the square root of the right side: 17.613914954 Break this problem into two subproblems by setting (x + 1.5) equal to 17.613914954 and -17.613914954.

Subproblem 1

x + 1.5 = 17.613914954 Simplifying x + 1.5 = 17.613914954 Reorder the terms: 1.5 + x = 17.613914954 Solving 1.5 + x = 17.613914954 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 = 17.613914954 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 17.613914954 + -1.5 x = 17.613914954 + -1.5 Combine like terms: 17.613914954 + -1.5 = 16.113914954 x = 16.113914954 Simplifying x = 16.113914954

Subproblem 2

x + 1.5 = -17.613914954 Simplifying x + 1.5 = -17.613914954 Reorder the terms: 1.5 + x = -17.613914954 Solving 1.5 + x = -17.613914954 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 = -17.613914954 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -17.613914954 + -1.5 x = -17.613914954 + -1.5 Combine like terms: -17.613914954 + -1.5 = -19.113914954 x = -19.113914954 Simplifying x = -19.113914954

Solution

The solution to the problem is based on the solutions from the subproblems. x = {16.113914954, -19.113914954}

Solution

x = {16.113914954, -19.113914954}

See similar equations:

| 9k-32=6k+8 | | x/7=5 | | 12x+7y=-35 | | x^3+125y^3= | | k+3(3)=45 | | 500-3x=275 | | 6(-1-d)=-42 | | n-10=.3n-7-.3n | | (3u+7)(6-u)=0 | | 2-11-19= | | b^4-32b^2+256= | | 70uv-91uw= | | 2x-19= | | 1/3(6z+10)= | | 7b^2+43b+40=0 | | 7(n+3)=6(n-3) | | 13t+8=4t+73 | | 2(0d-4)=2d+8 | | 5t-14=14 | | 27g+9=5g+31 | | -3(-5z+12)=-2z-36 | | 7b^2+34b+40=0 | | 16x^3+24x^2+9x+1=0 | | 2b+5=-9 | | 10+3(3x+6)= | | 9m+14=2 | | 11=8x+5-5x | | 10p-15=5p+30 | | 3*3+12=3 | | X-3=-24 | | 12x-5=6(2x-3) | | 7x^2+34x-48=0 |

Equations solver categories