If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a2 + -30 = 3a Reorder the terms: -30 + 2a2 = 3a Solving -30 + 2a2 = 3a Solving for variable 'a'. Reorder the terms: -30 + -3a + 2a2 = 3a + -3a Combine like terms: 3a + -3a = 0 -30 + -3a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -15 + -1.5a + a2 = 0 Move the constant term to the right: Add '15' to each side of the equation. -15 + -1.5a + 15 + a2 = 0 + 15 Reorder the terms: -15 + 15 + -1.5a + a2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1.5a + a2 = 0 + 15 -1.5a + a2 = 0 + 15 Combine like terms: 0 + 15 = 15 -1.5a + a2 = 15 The a term is -1.5a. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5a + 0.5625 + a2 = 15 + 0.5625 Reorder the terms: 0.5625 + -1.5a + a2 = 15 + 0.5625 Combine like terms: 15 + 0.5625 = 15.5625 0.5625 + -1.5a + a2 = 15.5625 Factor a perfect square on the left side: (a + -0.75)(a + -0.75) = 15.5625 Calculate the square root of the right side: 3.94493346 Break this problem into two subproblems by setting (a + -0.75) equal to 3.94493346 and -3.94493346.Subproblem 1
a + -0.75 = 3.94493346 Simplifying a + -0.75 = 3.94493346 Reorder the terms: -0.75 + a = 3.94493346 Solving -0.75 + a = 3.94493346 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + a = 3.94493346 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = 3.94493346 + 0.75 a = 3.94493346 + 0.75 Combine like terms: 3.94493346 + 0.75 = 4.69493346 a = 4.69493346 Simplifying a = 4.69493346Subproblem 2
a + -0.75 = -3.94493346 Simplifying a + -0.75 = -3.94493346 Reorder the terms: -0.75 + a = -3.94493346 Solving -0.75 + a = -3.94493346 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + a = -3.94493346 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = -3.94493346 + 0.75 a = -3.94493346 + 0.75 Combine like terms: -3.94493346 + 0.75 = -3.19493346 a = -3.19493346 Simplifying a = -3.19493346Solution
The solution to the problem is based on the solutions from the subproblems. a = {4.69493346, -3.19493346}
| .5x+.25=1 | | 5(x-1)+4x= | | 1/y-12=1/3y | | x+(x*.16)=750000 | | 2m+3n+6m+4n= | | d/dx=4sin2x | | 8z+3=-4 | | 0=-16*30*30 | | 0=-16*30*3 | | 7x-12y=-10 | | ((w^2)+3)((3w^2)+5w-6)= | | 5(2c)= | | 4x^2+4y^2-56x+52y+33=0 | | -3+6y+2-2y= | | 4w^2+400=0 | | 8(x+4)=3(x+2) | | y-7=1/2(x-7) | | 18w^2+3w^3=0 | | 3[5-3(4-z)]-5=5[3(5a-4)+2]-26 | | -y+6x=6 | | 5(4X-5)-5X= | | 12a^2-147=0 | | X/3-x/5=1/5 | | x-4x=6x-3-x | | 4x-15y=-54 | | 8-8(6-4x)= | | 24=4(x-4) | | (-2y^2-5y)+(4y^2+2y-7)= | | 6-4(3x+8)=5 | | x(x+9)=162 | | 34-78=2 | | (8+x)x=105 |