If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 3)(x + 3) = 31 Reorder the terms: (3 + x)(x + 3) = 31 Reorder the terms: (3 + x)(3 + x) = 31 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = 31 ((3 * 3 + x * 3) + x(3 + x)) = 31 ((9 + 3x) + x(3 + x)) = 31 (9 + 3x + (3 * x + x * x)) = 31 (9 + 3x + (3x + x2)) = 31 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = 31 Solving 9 + 6x + x2 = 31 Solving for variable 'x'. Reorder the terms: 9 + -31 + 6x + x2 = 31 + -31 Combine like terms: 9 + -31 = -22 -22 + 6x + x2 = 31 + -31 Combine like terms: 31 + -31 = 0 -22 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '22' to each side of the equation. -22 + 6x + 22 + x2 = 0 + 22 Reorder the terms: -22 + 22 + 6x + x2 = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 6x + x2 = 0 + 22 6x + x2 = 0 + 22 Combine like terms: 0 + 22 = 22 6x + x2 = 22 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 22 + 9 Reorder the terms: 9 + 6x + x2 = 22 + 9 Combine like terms: 22 + 9 = 31 9 + 6x + x2 = 31 Factor a perfect square on the left side: (x + 3)(x + 3) = 31 Calculate the square root of the right side: 5.567764363 Break this problem into two subproblems by setting (x + 3) equal to 5.567764363 and -5.567764363.Subproblem 1
x + 3 = 5.567764363 Simplifying x + 3 = 5.567764363 Reorder the terms: 3 + x = 5.567764363 Solving 3 + x = 5.567764363 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 5.567764363 + -3 Combine like terms: 3 + -3 = 0 0 + x = 5.567764363 + -3 x = 5.567764363 + -3 Combine like terms: 5.567764363 + -3 = 2.567764363 x = 2.567764363 Simplifying x = 2.567764363Subproblem 2
x + 3 = -5.567764363 Simplifying x + 3 = -5.567764363 Reorder the terms: 3 + x = -5.567764363 Solving 3 + x = -5.567764363 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -5.567764363 + -3 Combine like terms: 3 + -3 = 0 0 + x = -5.567764363 + -3 x = -5.567764363 + -3 Combine like terms: -5.567764363 + -3 = -8.567764363 x = -8.567764363 Simplifying x = -8.567764363Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.567764363, -8.567764363}
| 7z+6=10z-30 | | -15-6x=15-4x | | (3x+10)+(5x+10)=180 | | 3x^2+x-2=6x | | (a^2+a+3)+(15a^2+2a+9)= | | 30000=30(1+0.6) | | 2x=272 | | 4x+6+90=180 | | 22(x)=31(x) | | -17=-6x-5(-2x+13) | | y^4=4y^2+45 | | 62n=62 | | 6x+9x-27=180 | | -8y+5(y-2)=-31 | | -4(2-5z)=-32+14z | | -4(3x+2y)-2(-6x+4y)= | | X+42=2x+72 | | 6z+38=8z-5 | | 8x-23=6x+23 | | 4(3x+2y)-2(-6x+4y)= | | 2X+(-2)-(-1)-2x=x+4+(-1)-(-3x) | | 9x-27=90 | | 2(2-3x)=3-(2-7x) | | 6x+9x-27=90 | | 20+3y=6 | | 9=3+2n | | X+(-2)-(-1)-2x=x+4+(-1)-(-3x) | | 8x-11=5x+13 | | -39+11x=8x+15 | | (4x-x^2-9)+(2-2x+6x^2)= | | 5b+14=-7-2b | | -12x^2+6x+90=0 |