If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7a2 + 32 = 7140a Reorder the terms: 32 + 7a2 = 7140a Solving 32 + 7a2 = 7140a Solving for variable 'a'. Reorder the terms: 32 + -7140a + 7a2 = 7140a + -7140a Combine like terms: 7140a + -7140a = 0 32 + -7140a + 7a2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 4.571428571 + -1020a + a2 = 0 Move the constant term to the right: Add '-4.571428571' to each side of the equation. 4.571428571 + -1020a + -4.571428571 + a2 = 0 + -4.571428571 Reorder the terms: 4.571428571 + -4.571428571 + -1020a + a2 = 0 + -4.571428571 Combine like terms: 4.571428571 + -4.571428571 = 0.000000000 0.000000000 + -1020a + a2 = 0 + -4.571428571 -1020a + a2 = 0 + -4.571428571 Combine like terms: 0 + -4.571428571 = -4.571428571 -1020a + a2 = -4.571428571 The a term is -1020a. Take half its coefficient (-510). Square it (260100) and add it to both sides. Add '260100' to each side of the equation. -1020a + 260100 + a2 = -4.571428571 + 260100 Reorder the terms: 260100 + -1020a + a2 = -4.571428571 + 260100 Combine like terms: -4.571428571 + 260100 = 260095.428571429 260100 + -1020a + a2 = 260095.428571429 Factor a perfect square on the left side: (a + -510)(a + -510) = 260095.428571429 Calculate the square root of the right side: 509.995518188 Break this problem into two subproblems by setting (a + -510) equal to 509.995518188 and -509.995518188.Subproblem 1
a + -510 = 509.995518188 Simplifying a + -510 = 509.995518188 Reorder the terms: -510 + a = 509.995518188 Solving -510 + a = 509.995518188 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '510' to each side of the equation. -510 + 510 + a = 509.995518188 + 510 Combine like terms: -510 + 510 = 0 0 + a = 509.995518188 + 510 a = 509.995518188 + 510 Combine like terms: 509.995518188 + 510 = 1019.995518188 a = 1019.995518188 Simplifying a = 1019.995518188Subproblem 2
a + -510 = -509.995518188 Simplifying a + -510 = -509.995518188 Reorder the terms: -510 + a = -509.995518188 Solving -510 + a = -509.995518188 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '510' to each side of the equation. -510 + 510 + a = -509.995518188 + 510 Combine like terms: -510 + 510 = 0 0 + a = -509.995518188 + 510 a = -509.995518188 + 510 Combine like terms: -509.995518188 + 510 = 0.004481812 a = 0.004481812 Simplifying a = 0.004481812Solution
The solution to the problem is based on the solutions from the subproblems. a = {1019.995518188, 0.004481812}
| 0.03x=0.2 | | 5x^2+10x=36x+36 | | m(15-2n)+7= | | 15m-2mn+7= | | 35+4x=9x | | -12-2x=-38 | | 4x-5=-2x+31 | | 17.5/420x100 | | 8x+6=2+8x | | z/5-4z/5 | | 4x=-3y+1 | | 5x-27=34 | | x-[-1]=8 | | -(5×4)^1/2 | | 9b+6c-7b+3c-5d+d= | | -3n-5-1n=-1 | | 4b-4=20 | | 9x-16=2x+10 | | 8=4(v+8) | | y+(3x+5)+(8y-20)=180 | | 5x+4(x+3)=48 | | 8x^2+3x-12=0 | | Y/6-8=-6 | | 3(t+-3)+5t=4(2+5)-9 | | 4+5x+6x=26 | | -3n-0n+2=14 | | 1=8w+11 | | 6ln(3x+1)=12 | | K+x=w+v | | -xy+5xy= | | (1/3)x=-5 | | (!/3)x=-5 |