If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 3x + -76 = 0 Reorder the terms: -76 + 3x + x2 = 0 Solving -76 + 3x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '76' to each side of the equation. -76 + 3x + 76 + x2 = 0 + 76 Reorder the terms: -76 + 76 + 3x + x2 = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 3x + x2 = 0 + 76 3x + x2 = 0 + 76 Combine like terms: 0 + 76 = 76 3x + x2 = 76 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 = 76 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 76 + 2.25 Combine like terms: 76 + 2.25 = 78.25 2.25 + 3x + x2 = 78.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 78.25 Calculate the square root of the right side: 8.845903006 Break this problem into two subproblems by setting (x + 1.5) equal to 8.845903006 and -8.845903006.Subproblem 1
x + 1.5 = 8.845903006 Simplifying x + 1.5 = 8.845903006 Reorder the terms: 1.5 + x = 8.845903006 Solving 1.5 + x = 8.845903006 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 = 8.845903006 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 8.845903006 + -1.5 x = 8.845903006 + -1.5 Combine like terms: 8.845903006 + -1.5 = 7.345903006 x = 7.345903006 Simplifying x = 7.345903006Subproblem 2
x + 1.5 = -8.845903006 Simplifying x + 1.5 = -8.845903006 Reorder the terms: 1.5 + x = -8.845903006 Solving 1.5 + x = -8.845903006 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 = -8.845903006 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -8.845903006 + -1.5 x = -8.845903006 + -1.5 Combine like terms: -8.845903006 + -1.5 = -10.345903006 x = -10.345903006 Simplifying x = -10.345903006Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.345903006, -10.345903006}
| 5x+15=9x+19 | | 5+q=-5 | | [7x-13]=[3x+20] | | (3w-2)=8(2w+3) | | -8.7x=52.2 | | x^2-3x-76=0 | | 3m+6=-12 | | 16c^2+8c+1=0 | | 9-(3n-7)=7-4n | | 0.5x-3=1.5x+4 | | z^2+2z-3=0 | | x^2-x+36=0 | | 3(w-6)=2(w-8) | | 7x-2=8x | | -9(3b+1)+(28b-1)=0 | | -2(2x-5)=4x | | -4b-5=6 | | 4z^2-17x+18=0 | | 6x-8=24x+4 | | 3w(w-3)=0 | | 4.2q-1.1-3.9q=-0.7q-3.4 | | 4z^2+4x-15=0 | | 12x-3y-3=0 | | y-14=7 | | 5y+8=-4(2y+1) | | 9y+2-4y=3+4y+6 | | 5(z-1)-(-2z-4)=6z | | 7-7(3+6x)=0 | | 3+8=-2 | | 2(y-8)=3y-7 | | 8x+2x=9x+9 | | k+12=5 |