If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 2x2 + 15x + 1 Reorder the terms: 0 = 1 + 15x + 2x2 Solving 0 = 1 + 15x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -1 = -1 -1 + -15x + -2x2 = 1 + 15x + 2x2 + -1 + -15x + -2x2 Reorder the terms: -1 + -15x + -2x2 = 1 + -1 + 15x + -15x + 2x2 + -2x2 Combine like terms: 1 + -1 = 0 -1 + -15x + -2x2 = 0 + 15x + -15x + 2x2 + -2x2 -1 + -15x + -2x2 = 15x + -15x + 2x2 + -2x2 Combine like terms: 15x + -15x = 0 -1 + -15x + -2x2 = 0 + 2x2 + -2x2 -1 + -15x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1 + -15x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 15x + 2x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 15x + 2x2)' equal to zero and attempt to solve: Simplifying 1 + 15x + 2x2 = 0 Solving 1 + 15x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + 7.5x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 7.5x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 7.5x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 7.5x + x2 = 0 + -0.5 7.5x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 7.5x + x2 = -0.5 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = -0.5 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = -0.5 + 14.0625 Combine like terms: -0.5 + 14.0625 = 13.5625 14.0625 + 7.5x + x2 = 13.5625 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = 13.5625 Calculate the square root of the right side: 3.682729966 Break this problem into two subproblems by setting (x + 3.75) equal to 3.682729966 and -3.682729966.Subproblem 1
x + 3.75 = 3.682729966 Simplifying x + 3.75 = 3.682729966 Reorder the terms: 3.75 + x = 3.682729966 Solving 3.75 + x = 3.682729966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = 3.682729966 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = 3.682729966 + -3.75 x = 3.682729966 + -3.75 Combine like terms: 3.682729966 + -3.75 = -0.067270034 x = -0.067270034 Simplifying x = -0.067270034Subproblem 2
x + 3.75 = -3.682729966 Simplifying x + 3.75 = -3.682729966 Reorder the terms: 3.75 + x = -3.682729966 Solving 3.75 + x = -3.682729966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = -3.682729966 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = -3.682729966 + -3.75 x = -3.682729966 + -3.75 Combine like terms: -3.682729966 + -3.75 = -7.432729966 x = -7.432729966 Simplifying x = -7.432729966Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.067270034, -7.432729966}Solution
x = {-0.067270034, -7.432729966}
| 18x+54=90 | | 11.2=2y | | -6(x+3)-16=13+1 | | 4y-10=-18 | | 3[x-2(5-x)]=6 | | 9x+3=3-9 | | 1/4x-12=6 | | 1/4x-12=76 | | 3/2q9/2q-18 | | 6(x-6)=3(x+15) | | (-3+1)-(4+2)+(-2)= | | 1/4-12=6 | | -7y+4(y+7)=13 | | (x-10)-4=2 | | 6(x-6)=3(x-15) | | 2p+10=7p | | x+4=3[3x-4] | | -5(-3x+1)=10 | | 4t+8.40t=7t+7.15 | | (5x-3)-(-7x-4)= | | 7x-21/4=14 | | (x-7)(x+1)(x-9)=0 | | 6(5x+8)=258 | | 2(x+-3)+7=3x-8 | | 3(y-5)=4y-7 | | 1-2x=7-x | | 189=-3(-7x-7) | | 5(7-3x)=140 | | 8(n-6)=-88 | | 272=8(-6v+4) | | -3(3-7x)=-156 | | -6b-3(2b-6)=78 |