If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 + 20a + -12 = 0 Reorder the terms: -12 + 20a + 4a2 = 0 Solving -12 + 20a + 4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + 5a + a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + 5a + a2)' equal to zero and attempt to solve: Simplifying -3 + 5a + a2 = 0 Solving -3 + 5a + a2 = 0 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}Solution
a = {0.541381265, -5.541381265}
| -19z-0.7=-29z+1.9 | | 2(v-3)-6v=34 | | 13=3(u+3)-5u | | 3x-6=39-2x | | 45/105 | | 36x^2-6x-7=0 | | 4x^2-62x=0 | | (x-2)2-(y-9)2=48 | | 3x+2=5x+-6 | | n/3-11=1/2n-5 | | 2(6x+9)=126 | | 3-10b=9-2b | | 4x-1*2-x=10 | | 3x^3-28x^2+43x+42=3 | | 6x+-7x=0 | | 5(5d-3)=31d-57 | | 0.31=log(x/25) | | (-6-3x)=-168 | | 3x^3-28x^2+43x+42=0 | | 4p+6=14+3p | | -4(7x+1)=80 | | 4x+1+3x-5=(x-2)+30 | | 36x^2-4/9 | | -6(4x-6)=324 | | -6v^2=-3-3v | | 45/(12/(24/6)) | | (-8+5x)=-106 | | (-4x+3)=-174 | | 9k^2-12k-32=0 | | 7(.5+y)+3y+1=20 | | 6x^2+78=0 | | 4(x-2)=8x+7 |