If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3m2 + 30m = 75 Reorder the terms: 30m + 3m2 = 75 Solving 30m + 3m2 = 75 Solving for variable 'm'. Reorder the terms: -75 + 30m + 3m2 = 75 + -75 Combine like terms: 75 + -75 = 0 -75 + 30m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-25 + 10m + m2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-25 + 10m + m2)' equal to zero and attempt to solve: Simplifying -25 + 10m + m2 = 0 Solving -25 + 10m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '25' to each side of the equation. -25 + 10m + 25 + m2 = 0 + 25 Reorder the terms: -25 + 25 + 10m + m2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 10m + m2 = 0 + 25 10m + m2 = 0 + 25 Combine like terms: 0 + 25 = 25 10m + m2 = 25 The m term is 10m. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10m + 25 + m2 = 25 + 25 Reorder the terms: 25 + 10m + m2 = 25 + 25 Combine like terms: 25 + 25 = 50 25 + 10m + m2 = 50 Factor a perfect square on the left side: (m + 5)(m + 5) = 50 Calculate the square root of the right side: 7.071067812 Break this problem into two subproblems by setting (m + 5) equal to 7.071067812 and -7.071067812.Subproblem 1
m + 5 = 7.071067812 Simplifying m + 5 = 7.071067812 Reorder the terms: 5 + m = 7.071067812 Solving 5 + m = 7.071067812 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 7.071067812 + -5 Combine like terms: 5 + -5 = 0 0 + m = 7.071067812 + -5 m = 7.071067812 + -5 Combine like terms: 7.071067812 + -5 = 2.071067812 m = 2.071067812 Simplifying m = 2.071067812Subproblem 2
m + 5 = -7.071067812 Simplifying m + 5 = -7.071067812 Reorder the terms: 5 + m = -7.071067812 Solving 5 + m = -7.071067812 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = -7.071067812 + -5 Combine like terms: 5 + -5 = 0 0 + m = -7.071067812 + -5 m = -7.071067812 + -5 Combine like terms: -7.071067812 + -5 = -12.071067812 m = -12.071067812 Simplifying m = -12.071067812Solution
The solution to the problem is based on the solutions from the subproblems. m = {2.071067812, -12.071067812}Solution
m = {2.071067812, -12.071067812}
| 18r-12=192 | | 36=-2z-15 | | 2x-4=7x | | -84=2(6n-2)+4 | | 3x^2+3=2x^2+12 | | 2a^2-18b^2-72a=0 | | 60/x=12 | | 5(-8+17n)=1235 | | w^2+36=81 | | y=-1.8(x+12)(x+6) | | -4k+7k=-18 | | 3x+14=3+8x-9 | | -8+4s=-6 | | 0.5+2=x-1 | | 25+n=100 | | 17=r+18-13 | | 3x^3-12x^2-6x+24=0 | | 6+20k=256 | | 0=7x+8-8 | | -2v+40=-4v+10 | | -2/7=-1/4-5/6 | | 10X+5=3X+19 | | 8-8x-3=-11+6x-12 | | -6a=30 | | 11x-26=9+2,25x | | 16x^2+18x=0 | | -(5y+5)-(-4y-6)=-2 | | 662/35/6 | | (x/x+1)^2+2x/x+1=8 | | 4x+21=3+x | | 2/3=3t/4+1 | | .7x+1=15 |