If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9 = 2x2 + 2x + 1 Reorder the terms: 9 = 1 + 2x + 2x2 Solving 9 = 1 + 2x + 2x2 Solving for variable 'x'. Combine like terms: 9 + -1 = 8 8 + -2x + -2x2 = 1 + 2x + 2x2 + -1 + -2x + -2x2 Reorder the terms: 8 + -2x + -2x2 = 1 + -1 + 2x + -2x + 2x2 + -2x2 Combine like terms: 1 + -1 = 0 8 + -2x + -2x2 = 0 + 2x + -2x + 2x2 + -2x2 8 + -2x + -2x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 8 + -2x + -2x2 = 0 + 2x2 + -2x2 8 + -2x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8 + -2x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -1x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1x + -1x2)' equal to zero and attempt to solve: Simplifying 4 + -1x + -1x2 = 0 Solving 4 + -1x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -4 + x + x2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + x2 = 0 + 4 x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 x + x2 = 4 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = 4 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 4 + 0.25 Combine like terms: 4 + 0.25 = 4.25 1.25 + x2 = 4.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 4.25 Calculate the square root of the right side: 2.061552813 Break this problem into two subproblems by setting (x + 0.5) equal to 2.061552813 and -2.061552813.Subproblem 1
x + 0.5 = 2.061552813 Simplifying x + 0.5 = 2.061552813 Reorder the terms: 0.5 + x = 2.061552813 Solving 0.5 + x = 2.061552813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 2.061552813 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 2.061552813 + -0.5 x = 2.061552813 + -0.5 Combine like terms: 2.061552813 + -0.5 = 1.561552813 x = 1.561552813 Simplifying x = 1.561552813Subproblem 2
x + 0.5 = -2.061552813 Simplifying x + 0.5 = -2.061552813 Reorder the terms: 0.5 + x = -2.061552813 Solving 0.5 + x = -2.061552813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -2.061552813 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -2.061552813 + -0.5 x = -2.061552813 + -0.5 Combine like terms: -2.061552813 + -0.5 = -2.561552813 x = -2.561552813 Simplifying x = -2.561552813Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.561552813, -2.561552813}Solution
x = {1.561552813, -2.561552813}
| 14/4=n/10 | | 2a-1/2=23/3 | | (5x^2-7x-4)+(2x^2-3x+5)-(x^2-4x-3)= | | t^2-8=7t | | 63a-7/9a^-3 | | 3x^2+19=-30 | | 74j=100 | | 74=100 | | 3x^2+79x=-30 | | 74j=257-63j | | X/7=60 | | 6x^2-7x=3x-4 | | 10/100x100 | | 2(u-2)-4u=-10 | | Log[4](2x+8)=log[4](6x-12) | | C=52.5-1.5y | | 9x-(6x+3)=4x-27 | | 3x+x+x+20=125 | | x+3y-z=-7 | | 4y+6-1=0 | | 12(x+4)=21(x+1) | | 4y+6-1=5 | | x+3x+20=125 | | 6(x+8)=17(2x-2) | | -x-9y=4 | | 4+4x=180 | | 1-2y+y^2+2xy=0 | | 62/21x=11/3x-5/21 | | 24*(a+b)=210 | | 29/15x=7/3x-2/15 | | 6c+4y=210 | | 3x+2(-2)-4=0 |