If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 + -12a + 3 = 0 Reorder the terms: 3 + -12a + 4a2 = 0 Solving 3 + -12a + 4a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + -3a + a2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -3a + -0.75 + a2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -3a + a2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -3a + a2 = 0 + -0.75 -3a + a2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -3a + a2 = -0.75 The a term is -3a. 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. -3a + 2.25 + a2 = -0.75 + 2.25 Reorder the terms: 2.25 + -3a + a2 = -0.75 + 2.25 Combine like terms: -0.75 + 2.25 = 1.5 2.25 + -3a + a2 = 1.5 Factor a perfect square on the left side: (a + -1.5)(a + -1.5) = 1.5 Calculate the square root of the right side: 1.224744871 Break this problem into two subproblems by setting (a + -1.5) equal to 1.224744871 and -1.224744871.Subproblem 1
a + -1.5 = 1.224744871 Simplifying a + -1.5 = 1.224744871 Reorder the terms: -1.5 + a = 1.224744871 Solving -1.5 + a = 1.224744871 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + a = 1.224744871 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + a = 1.224744871 + 1.5 a = 1.224744871 + 1.5 Combine like terms: 1.224744871 + 1.5 = 2.724744871 a = 2.724744871 Simplifying a = 2.724744871Subproblem 2
a + -1.5 = -1.224744871 Simplifying a + -1.5 = -1.224744871 Reorder the terms: -1.5 + a = -1.224744871 Solving -1.5 + a = -1.224744871 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + a = -1.224744871 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + a = -1.224744871 + 1.5 a = -1.224744871 + 1.5 Combine like terms: -1.224744871 + 1.5 = 0.275255129 a = 0.275255129 Simplifying a = 0.275255129Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.724744871, 0.275255129}
| 2.50x+4=21.50 | | 57/4 | | X^3+5x^2-2x-15=0 | | 24=x-4 | | 4[5+2(8-10)]= | | 0.5x+1.5x=-7.5 | | 24=4-x | | 14=-7g | | n+31=18 | | t/6-4=15 | | 0.75=log1/x | | 2x+5x-3x=x+19 | | 34/.0124= | | c+24=32 | | 0.5b+2.05=26 | | x/3-4x=11 | | 3(x^2)ydx+(x^3+y^3)dy=0 | | Y=(x+6)(x+3) | | 2(4)-4y=8 | | 1/4+2/7= | | -2ab+5a^3b^2=0 | | 4x^3=16x^2 | | 3x+48+x-5+8x=907 | | w-42=12.5 | | 0=(12-2ax)/x^4 | | 4x+12=2x+78 | | 5y-25=0 | | x^2=-y | | 0+2y-13=0 | | Log[2](5x+4)=4 | | x^2-1=24/25 | | 2/3-i=0 |