If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a2 + 3a + -7 = 200 Reorder the terms: -7 + 3a + 2a2 = 200 Solving -7 + 3a + 2a2 = 200 Solving for variable 'a'. Reorder the terms: -7 + -200 + 3a + 2a2 = 200 + -200 Combine like terms: -7 + -200 = -207 -207 + 3a + 2a2 = 200 + -200 Combine like terms: 200 + -200 = 0 -207 + 3a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -103.5 + 1.5a + a2 = 0 Move the constant term to the right: Add '103.5' to each side of the equation. -103.5 + 1.5a + 103.5 + a2 = 0 + 103.5 Reorder the terms: -103.5 + 103.5 + 1.5a + a2 = 0 + 103.5 Combine like terms: -103.5 + 103.5 = 0.0 0.0 + 1.5a + a2 = 0 + 103.5 1.5a + a2 = 0 + 103.5 Combine like terms: 0 + 103.5 = 103.5 1.5a + a2 = 103.5 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 = 103.5 + 0.5625 Reorder the terms: 0.5625 + 1.5a + a2 = 103.5 + 0.5625 Combine like terms: 103.5 + 0.5625 = 104.0625 0.5625 + 1.5a + a2 = 104.0625 Factor a perfect square on the left side: (a + 0.75)(a + 0.75) = 104.0625 Calculate the square root of the right side: 10.201102882 Break this problem into two subproblems by setting (a + 0.75) equal to 10.201102882 and -10.201102882.Subproblem 1
a + 0.75 = 10.201102882 Simplifying a + 0.75 = 10.201102882 Reorder the terms: 0.75 + a = 10.201102882 Solving 0.75 + a = 10.201102882 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 = 10.201102882 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = 10.201102882 + -0.75 a = 10.201102882 + -0.75 Combine like terms: 10.201102882 + -0.75 = 9.451102882 a = 9.451102882 Simplifying a = 9.451102882Subproblem 2
a + 0.75 = -10.201102882 Simplifying a + 0.75 = -10.201102882 Reorder the terms: 0.75 + a = -10.201102882 Solving 0.75 + a = -10.201102882 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 = -10.201102882 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = -10.201102882 + -0.75 a = -10.201102882 + -0.75 Combine like terms: -10.201102882 + -0.75 = -10.951102882 a = -10.951102882 Simplifying a = -10.951102882Solution
The solution to the problem is based on the solutions from the subproblems. a = {9.451102882, -10.951102882}
| 2/5p=3/4 | | 5j+(-16)=76 | | 8n^2-98= | | 2a^2+3a-7=90 | | 3x+2x-(-5)=25 | | 1/4x+20=50 | | 6x^5-30x^4=0 | | -7v+9=5v-(6v-3) | | 4y+5-3y=-2 | | 7m+24=3m-8 | | 83=x+9 | | 2f-4g=6 | | 6k-30=4(k-5) | | 2a^2+3a-7=100 | | 1/2x^2-3x=0 | | x^2+5x=x+12 | | x+x+1+x+2=-189 | | 21+7(2-3)=62+1 | | -5y-3=5-4y | | 10/16=m/56 | | 5x-(2x+4)= | | 2x/7=2x^2 | | a^2+15a+56= | | 8x^2+4x+6=0 | | 3(x-4)+5=7x+3(x-2) | | 11y-9=20y+54 | | 14c+7=28 | | 2x+0.25-x=3 | | 4x=4x-15 | | y^4/3=-4y | | 5x+10+58=x | | 2a^2+3a-7=75 |