If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 5a + -3 = 0 Reorder the terms: -3 + 5a + a2 = 0 Solving -3 + 5a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '3' to each side of the equation. -3 + 5a + 3 + a2 = 0 + 3 Reorder the terms: -3 + 3 + 5a + a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5a + a2 = 0 + 3 5a + a2 = 0 + 3 Combine like terms: 0 + 3 = 3 5a + a2 = 3 The a term is 5a. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5a + 6.25 + a2 = 3 + 6.25 Reorder the terms: 6.25 + 5a + a2 = 3 + 6.25 Combine like terms: 3 + 6.25 = 9.25 6.25 + 5a + a2 = 9.25 Factor a perfect square on the left side: (a + 2.5)(a + 2.5) = 9.25 Calculate the square root of the right side: 3.041381265 Break this problem into two subproblems by setting (a + 2.5) equal to 3.041381265 and -3.041381265.Subproblem 1
a + 2.5 = 3.041381265 Simplifying a + 2.5 = 3.041381265 Reorder the terms: 2.5 + a = 3.041381265 Solving 2.5 + a = 3.041381265 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + a = 3.041381265 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = 3.041381265 + -2.5 a = 3.041381265 + -2.5 Combine like terms: 3.041381265 + -2.5 = 0.541381265 a = 0.541381265 Simplifying a = 0.541381265Subproblem 2
a + 2.5 = -3.041381265 Simplifying a + 2.5 = -3.041381265 Reorder the terms: 2.5 + a = -3.041381265 Solving 2.5 + a = -3.041381265 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + a = -3.041381265 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = -3.041381265 + -2.5 a = -3.041381265 + -2.5 Combine like terms: -3.041381265 + -2.5 = -5.541381265 a = -5.541381265 Simplifying a = -5.541381265Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.541381265, -5.541381265}
| 11+6k=-29 | | 7-5(-2x-3)=3(-2x+7) | | b^2-15b+56= | | 2a+2=100 | | 30(12-x)=300 | | 4y+39=36+8y | | 4[2.5x-2]=2[5x-5]+2 | | 2x^2-4x-78=0 | | 3x+7(x+8)=126 | | 3(x-3)+2=2(x-6) | | 3(x+8)/11 | | -8x+4y=28fpry | | x^2-9x-8352=0 | | 6(x-2)/2 | | 2*4=8 | | -9(v+4)+3v+7=7v+10 | | 24y=4(6y-2.5) | | -108=6(2p-4) | | o=x+9 | | 3g+2(-3+4g)=1-g | | 7(6-5a)=5(-3a+1) | | 682=31+6x+4x | | 40k+90=30k+130 | | Y=15x-12 | | 60/25=29/x | | 24y=4(6y) | | -2=-(n-4) | | -4-8m=8 | | 2*4x=8 | | g(x)=2j^2+1 | | 11+3(4y+6)= | | -4x-2(5x-10)=160 |