If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = x2 + 6x + 17 Reorder the terms: 10 = 17 + 6x + x2 Solving 10 = 17 + 6x + x2 Solving for variable 'x'. Combine like terms: 10 + -17 = -7 -7 + -6x + -1x2 = 17 + 6x + x2 + -17 + -6x + -1x2 Reorder the terms: -7 + -6x + -1x2 = 17 + -17 + 6x + -6x + x2 + -1x2 Combine like terms: 17 + -17 = 0 -7 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2 -7 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 -7 + -6x + -1x2 = 0 + x2 + -1x2 -7 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -6x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 6x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 6x + x2)' equal to zero and attempt to solve: Simplifying 7 + 6x + x2 = 0 Solving 7 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 6x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 6x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x + x2 = 0 + -7 6x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 6x + x2 = -7 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 = -7 + 9 Reorder the terms: 9 + 6x + x2 = -7 + 9 Combine like terms: -7 + 9 = 2 9 + 6x + x2 = 2 Factor a perfect square on the left side: (x + 3)(x + 3) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x + 3) equal to 1.414213562 and -1.414213562.Subproblem 1
x + 3 = 1.414213562 Simplifying x + 3 = 1.414213562 Reorder the terms: 3 + x = 1.414213562 Solving 3 + x = 1.414213562 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 = 1.414213562 + -3 Combine like terms: 3 + -3 = 0 0 + x = 1.414213562 + -3 x = 1.414213562 + -3 Combine like terms: 1.414213562 + -3 = -1.585786438 x = -1.585786438 Simplifying x = -1.585786438Subproblem 2
x + 3 = -1.414213562 Simplifying x + 3 = -1.414213562 Reorder the terms: 3 + x = -1.414213562 Solving 3 + x = -1.414213562 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 = -1.414213562 + -3 Combine like terms: 3 + -3 = 0 0 + x = -1.414213562 + -3 x = -1.414213562 + -3 Combine like terms: -1.414213562 + -3 = -4.414213562 x = -4.414213562 Simplifying x = -4.414213562Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.585786438, -4.414213562}Solution
x = {-1.585786438, -4.414213562}
| .75(y-5)=.375(y-.2) | | 4s^2-25s-21=0 | | 10=x/3-12 | | 10=-4bx-5+2x | | 3xy(2yz+4xz)= | | 2(t-1)-2=t+2 | | 12c=1 | | 15(t-5)+6t=7(3t+3)-9 | | 8-4x=x+23 | | 4y^2-36y+81=0 | | -9(9+x)=-12(x+10) | | Q=5+2P | | 3x+2(3x+4)=35 | | x=.9x+30 | | y=-4E-06x+0.0016 | | 4m+-3n=8 | | fx=2x^2-9 | | 3x+5=23x+5 | | 4x^2+2=6 | | 38=8p | | 11a-3-5a+45= | | x(x-49)=12 | | x^4+32x^2-180=0 | | -4.8g=25.8 | | rt+u=4v | | 5x+(5x-20)=180 | | -(2x-1)-2(3x-1)=4(x+1)-2x | | (4x^3-7x^2+10x-4)-(3x^3-10x^2-8x+10)= | | 2(2k-1)=(k-2) | | -3+2x=x+1 | | -7x-6=12x-41 | | x^2(x+8)=20 |