If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (10 + x)(10 + x) = 69 Multiply (10 + x) * (10 + x) (10(10 + x) + x(10 + x)) = 69 ((10 * 10 + x * 10) + x(10 + x)) = 69 ((100 + 10x) + x(10 + x)) = 69 (100 + 10x + (10 * x + x * x)) = 69 (100 + 10x + (10x + x2)) = 69 Combine like terms: 10x + 10x = 20x (100 + 20x + x2) = 69 Solving 100 + 20x + x2 = 69 Solving for variable 'x'. Reorder the terms: 100 + -69 + 20x + x2 = 69 + -69 Combine like terms: 100 + -69 = 31 31 + 20x + x2 = 69 + -69 Combine like terms: 69 + -69 = 0 31 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + 20x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + 20x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 20x + x2 = 0 + -31 20x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 20x + x2 = -31 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -31 + 100 Reorder the terms: 100 + 20x + x2 = -31 + 100 Combine like terms: -31 + 100 = 69 100 + 20x + x2 = 69 Factor a perfect square on the left side: (x + 10)(x + 10) = 69 Calculate the square root of the right side: 8.306623863 Break this problem into two subproblems by setting (x + 10) equal to 8.306623863 and -8.306623863.Subproblem 1
x + 10 = 8.306623863 Simplifying x + 10 = 8.306623863 Reorder the terms: 10 + x = 8.306623863 Solving 10 + x = 8.306623863 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 8.306623863 + -10 Combine like terms: 10 + -10 = 0 0 + x = 8.306623863 + -10 x = 8.306623863 + -10 Combine like terms: 8.306623863 + -10 = -1.693376137 x = -1.693376137 Simplifying x = -1.693376137Subproblem 2
x + 10 = -8.306623863 Simplifying x + 10 = -8.306623863 Reorder the terms: 10 + x = -8.306623863 Solving 10 + x = -8.306623863 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = -8.306623863 + -10 Combine like terms: 10 + -10 = 0 0 + x = -8.306623863 + -10 x = -8.306623863 + -10 Combine like terms: -8.306623863 + -10 = -18.306623863 x = -18.306623863 Simplifying x = -18.306623863Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.693376137, -18.306623863}
| 2x-30=-2(x+3) | | 2y-38x-10=8 | | 3x^2+2x+12=-13x | | y+9x+12=0 | | 24-x^2=10x | | 10p-25=15p+15 | | 3x-6=12+2x | | -5n+6n^2=4 | | -7+8n=4n+1 | | 4(u+7)=74+22 | | 2.1x+45.2=2.3-8.4x | | 6y+5= | | 3x^2+33+72=0 | | 12w+43=21-10x | | 24-x^2=10 | | -2(-2u-x)+5(2x+6u)= | | -4=2y-6y | | 24=3c+6 | | (100k)(25)=or | | 3(d-9)-5(d+8)= | | 4r-(r+6)=12-36 | | 23c+4(5c-9)= | | 20x^2=245 | | 3(x+7)+(x-5)=x-5 | | 19-2(4a-8)= | | 0.3125=-16x^2+10x | | 2x^2+5y+2=0 | | 9(x+2)=-6(x+7) | | X^2=9x+120 | | 5X-3=2X^2 | | 6(x+2)-4x=48 | | 14m+21m^2n= |