If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3m2 + 5(1 + 4m) = m + 22 + m2 3m2 + (1 * 5 + 4m * 5) = m + 22 + m2 3m2 + (5 + 20m) = m + 22 + m2 Reorder the terms: 5 + 20m + 3m2 = m + 22 + m2 Reorder the terms: 5 + 20m + 3m2 = 22 + m + m2 Solving 5 + 20m + 3m2 = 22 + m + m2 Solving for variable 'm'. Reorder the terms: 5 + -22 + 20m + -1m + 3m2 + -1m2 = 22 + m + m2 + -22 + -1m + -1m2 Combine like terms: 5 + -22 = -17 -17 + 20m + -1m + 3m2 + -1m2 = 22 + m + m2 + -22 + -1m + -1m2 Combine like terms: 20m + -1m = 19m -17 + 19m + 3m2 + -1m2 = 22 + m + m2 + -22 + -1m + -1m2 Combine like terms: 3m2 + -1m2 = 2m2 -17 + 19m + 2m2 = 22 + m + m2 + -22 + -1m + -1m2 Reorder the terms: -17 + 19m + 2m2 = 22 + -22 + m + -1m + m2 + -1m2 Combine like terms: 22 + -22 = 0 -17 + 19m + 2m2 = 0 + m + -1m + m2 + -1m2 -17 + 19m + 2m2 = m + -1m + m2 + -1m2 Combine like terms: m + -1m = 0 -17 + 19m + 2m2 = 0 + m2 + -1m2 -17 + 19m + 2m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -17 + 19m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -8.5 + 9.5m + m2 = 0 Move the constant term to the right: Add '8.5' to each side of the equation. -8.5 + 9.5m + 8.5 + m2 = 0 + 8.5 Reorder the terms: -8.5 + 8.5 + 9.5m + m2 = 0 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + 9.5m + m2 = 0 + 8.5 9.5m + m2 = 0 + 8.5 Combine like terms: 0 + 8.5 = 8.5 9.5m + m2 = 8.5 The m term is 9.5m. Take half its coefficient (4.75). Square it (22.5625) and add it to both sides. Add '22.5625' to each side of the equation. 9.5m + 22.5625 + m2 = 8.5 + 22.5625 Reorder the terms: 22.5625 + 9.5m + m2 = 8.5 + 22.5625 Combine like terms: 8.5 + 22.5625 = 31.0625 22.5625 + 9.5m + m2 = 31.0625 Factor a perfect square on the left side: (m + 4.75)(m + 4.75) = 31.0625 Calculate the square root of the right side: 5.573374202 Break this problem into two subproblems by setting (m + 4.75) equal to 5.573374202 and -5.573374202.Subproblem 1
m + 4.75 = 5.573374202 Simplifying m + 4.75 = 5.573374202 Reorder the terms: 4.75 + m = 5.573374202 Solving 4.75 + m = 5.573374202 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4.75' to each side of the equation. 4.75 + -4.75 + m = 5.573374202 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + m = 5.573374202 + -4.75 m = 5.573374202 + -4.75 Combine like terms: 5.573374202 + -4.75 = 0.823374202 m = 0.823374202 Simplifying m = 0.823374202Subproblem 2
m + 4.75 = -5.573374202 Simplifying m + 4.75 = -5.573374202 Reorder the terms: 4.75 + m = -5.573374202 Solving 4.75 + m = -5.573374202 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4.75' to each side of the equation. 4.75 + -4.75 + m = -5.573374202 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + m = -5.573374202 + -4.75 m = -5.573374202 + -4.75 Combine like terms: -5.573374202 + -4.75 = -10.323374202 m = -10.323374202 Simplifying m = -10.323374202Solution
The solution to the problem is based on the solutions from the subproblems. m = {0.823374202, -10.323374202}
| 9x^2+29x-38=0 | | x*20=225 | | y=1/5*-2+1 | | 5x-20=2(2x+5) | | y=2*-2-3 | | x+2/9=5/7 | | -83(z-71)=z+-91 | | .08x+.12(36000-x)=3680 | | 5x^3-15x^2+15x-15=0 | | -Sin^2x+sinx=0 | | 4.3x+2=7-1.7x | | 0.75r-1=0.25(r+8) | | 15+x+3=-1 | | 36+(-20)= | | z+3=-14 | | 3/5x+3/x-6 | | 3=4*-18+6 | | x+2/3=5/9 | | -2=4*0+6 | | 3.99*x=x/2 | | 39=4x+11 | | 0=4*8+6 | | a/4=(a-2)/4 | | 2x^4+12x^3=32x^2 | | -99(y-5)=y+44 | | 8x-7x-(6x+5)= | | y=-99(y-5) | | (39.99/10)=x/2 | | (2/5)x+(3/7)=1-(4/7)x | | -11+10(p+10)=5(2p+11) | | 8x^3+2x^2= | | 2(3x-4)+4x=12 |