If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (m + -14)(m + -14) + (m + 17)(m + 17) = (2m + -15)(2m + -15) Reorder the terms: (-14 + m)(m + -14) + (m + 17)(m + 17) = (2m + -15)(2m + -15) Reorder the terms: (-14 + m)(-14 + m) + (m + 17)(m + 17) = (2m + -15)(2m + -15) Multiply (-14 + m) * (-14 + m) (-14(-14 + m) + m(-14 + m)) + (m + 17)(m + 17) = (2m + -15)(2m + -15) ((-14 * -14 + m * -14) + m(-14 + m)) + (m + 17)(m + 17) = (2m + -15)(2m + -15) ((196 + -14m) + m(-14 + m)) + (m + 17)(m + 17) = (2m + -15)(2m + -15) (196 + -14m + (-14 * m + m * m)) + (m + 17)(m + 17) = (2m + -15)(2m + -15) (196 + -14m + (-14m + m2)) + (m + 17)(m + 17) = (2m + -15)(2m + -15) Combine like terms: -14m + -14m = -28m (196 + -28m + m2) + (m + 17)(m + 17) = (2m + -15)(2m + -15) Reorder the terms: 196 + -28m + m2 + (17 + m)(m + 17) = (2m + -15)(2m + -15) Reorder the terms: 196 + -28m + m2 + (17 + m)(17 + m) = (2m + -15)(2m + -15) Multiply (17 + m) * (17 + m) 196 + -28m + m2 + (17(17 + m) + m(17 + m)) = (2m + -15)(2m + -15) 196 + -28m + m2 + ((17 * 17 + m * 17) + m(17 + m)) = (2m + -15)(2m + -15) 196 + -28m + m2 + ((289 + 17m) + m(17 + m)) = (2m + -15)(2m + -15) 196 + -28m + m2 + (289 + 17m + (17 * m + m * m)) = (2m + -15)(2m + -15) 196 + -28m + m2 + (289 + 17m + (17m + m2)) = (2m + -15)(2m + -15) Combine like terms: 17m + 17m = 34m 196 + -28m + m2 + (289 + 34m + m2) = (2m + -15)(2m + -15) Reorder the terms: 196 + 289 + -28m + 34m + m2 + m2 = (2m + -15)(2m + -15) Combine like terms: 196 + 289 = 485 485 + -28m + 34m + m2 + m2 = (2m + -15)(2m + -15) Combine like terms: -28m + 34m = 6m 485 + 6m + m2 + m2 = (2m + -15)(2m + -15) Combine like terms: m2 + m2 = 2m2 485 + 6m + 2m2 = (2m + -15)(2m + -15) Reorder the terms: 485 + 6m + 2m2 = (-15 + 2m)(2m + -15) Reorder the terms: 485 + 6m + 2m2 = (-15 + 2m)(-15 + 2m) Multiply (-15 + 2m) * (-15 + 2m) 485 + 6m + 2m2 = (-15(-15 + 2m) + 2m * (-15 + 2m)) 485 + 6m + 2m2 = ((-15 * -15 + 2m * -15) + 2m * (-15 + 2m)) 485 + 6m + 2m2 = ((225 + -30m) + 2m * (-15 + 2m)) 485 + 6m + 2m2 = (225 + -30m + (-15 * 2m + 2m * 2m)) 485 + 6m + 2m2 = (225 + -30m + (-30m + 4m2)) Combine like terms: -30m + -30m = -60m 485 + 6m + 2m2 = (225 + -60m + 4m2) Solving 485 + 6m + 2m2 = 225 + -60m + 4m2 Solving for variable 'm'. Reorder the terms: 485 + -225 + 6m + 60m + 2m2 + -4m2 = 225 + -60m + 4m2 + -225 + 60m + -4m2 Combine like terms: 485 + -225 = 260 260 + 6m + 60m + 2m2 + -4m2 = 225 + -60m + 4m2 + -225 + 60m + -4m2 Combine like terms: 6m + 60m = 66m 260 + 66m + 2m2 + -4m2 = 225 + -60m + 4m2 + -225 + 60m + -4m2 Combine like terms: 2m2 + -4m2 = -2m2 260 + 66m + -2m2 = 225 + -60m + 4m2 + -225 + 60m + -4m2 Reorder the terms: 260 + 66m + -2m2 = 225 + -225 + -60m + 60m + 4m2 + -4m2 Combine like terms: 225 + -225 = 0 260 + 66m + -2m2 = 0 + -60m + 60m + 4m2 + -4m2 260 + 66m + -2m2 = -60m + 60m + 4m2 + -4m2 Combine like terms: -60m + 60m = 0 260 + 66m + -2m2 = 0 + 4m2 + -4m2 260 + 66m + -2m2 = 4m2 + -4m2 Combine like terms: 4m2 + -4m2 = 0 260 + 66m + -2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(130 + 33m + -1m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(130 + 33m + -1m2)' equal to zero and attempt to solve: Simplifying 130 + 33m + -1m2 = 0 Solving 130 + 33m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -130 + -33m + m2 = 0 Move the constant term to the right: Add '130' to each side of the equation. -130 + -33m + 130 + m2 = 0 + 130 Reorder the terms: -130 + 130 + -33m + m2 = 0 + 130 Combine like terms: -130 + 130 = 0 0 + -33m + m2 = 0 + 130 -33m + m2 = 0 + 130 Combine like terms: 0 + 130 = 130 -33m + m2 = 130 The m term is -33m. Take half its coefficient (-16.5). Square it (272.25) and add it to both sides. Add '272.25' to each side of the equation. -33m + 272.25 + m2 = 130 + 272.25 Reorder the terms: 272.25 + -33m + m2 = 130 + 272.25 Combine like terms: 130 + 272.25 = 402.25 272.25 + -33m + m2 = 402.25 Factor a perfect square on the left side: (m + -16.5)(m + -16.5) = 402.25 Calculate the square root of the right side: 20.05617112 Break this problem into two subproblems by setting (m + -16.5) equal to 20.05617112 and -20.05617112.Subproblem 1
m + -16.5 = 20.05617112 Simplifying m + -16.5 = 20.05617112 Reorder the terms: -16.5 + m = 20.05617112 Solving -16.5 + m = 20.05617112 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16.5' to each side of the equation. -16.5 + 16.5 + m = 20.05617112 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + m = 20.05617112 + 16.5 m = 20.05617112 + 16.5 Combine like terms: 20.05617112 + 16.5 = 36.55617112 m = 36.55617112 Simplifying m = 36.55617112Subproblem 2
m + -16.5 = -20.05617112 Simplifying m + -16.5 = -20.05617112 Reorder the terms: -16.5 + m = -20.05617112 Solving -16.5 + m = -20.05617112 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16.5' to each side of the equation. -16.5 + 16.5 + m = -20.05617112 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + m = -20.05617112 + 16.5 m = -20.05617112 + 16.5 Combine like terms: -20.05617112 + 16.5 = -3.55617112 m = -3.55617112 Simplifying m = -3.55617112Solution
The solution to the problem is based on the solutions from the subproblems. m = {36.55617112, -3.55617112}Solution
m = {36.55617112, -3.55617112}
| (m-14)(m-14)+y^2=(y+7)(y+7) | | 2w^4-w^3-w^2= | | 8x-3(-5x+2)=6 | | 2p*3p= | | (x-6)2=18 | | 9x^2-18x+7=0 | | x^2-5.38516+7=0 | | p-(-3q)= | | x-3=2x+4 | | 5-3x-7x=35 | | 8+7x+x^2=0 | | t-2=5j+s | | x^2=9(x-5) | | 7x(56-45)=8x+4 | | x^2=9(w-5) | | 0=x^2-8x+1 | | x+3y-(-2x)= | | p-(-3p)= | | -18v=3(12v+18) | | 4p+2q-(-3p)= | | 4x^2-10x+4= | | 7x^2-x-.5=0 | | 3a-(-4a)= | | 1y^2-28y-98=0 | | X+.20X=352 | | 7r+9=44 | | x^2+21x+110=0 | | 6(2n-1)=(8n+5)+4 | | x^22+21x+110=0 | | 6x^2-24x+16=-2 | | -56=8y | | 8(3n-4)=(2n+9)+5 |