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Simplifying [3x + -1(y + 5z)][3x + (y + 5z)] = 0 [3x + (y * -1 + 5z * -1)][3x + (y + 5z)] = 0 [3x + (-1y + -5z)][3x + (y + 5z)] = 0 Remove parenthesis around (y + 5z) [3x + -1y + -5z][3x + y + 5z] = 0 Multiply [3x + -1y + -5z] * [3x + y + 5z] [3x * [3x + y + 5z] + -1y * [3x + y + 5z] + -5z * [3x + y + 5z]] = 0 [[3x * 3x + y * 3x + 5z * 3x] + -1y * [3x + y + 5z] + -5z * [3x + y + 5z]] = 0 Reorder the terms: [[3xy + 15xz + 9x2] + -1y * [3x + y + 5z] + -5z * [3x + y + 5z]] = 0 [[3xy + 15xz + 9x2] + -1y * [3x + y + 5z] + -5z * [3x + y + 5z]] = 0 [3xy + 15xz + 9x2 + [3x * -1y + y * -1y + 5z * -1y] + -5z * [3x + y + 5z]] = 0 Reorder the terms: [3xy + 15xz + 9x2 + [-3xy + -5yz + -1y2] + -5z * [3x + y + 5z]] = 0 [3xy + 15xz + 9x2 + [-3xy + -5yz + -1y2] + -5z * [3x + y + 5z]] = 0 [3xy + 15xz + 9x2 + -3xy + -5yz + -1y2 + [3x * -5z + y * -5z + 5z * -5z]] = 0 [3xy + 15xz + 9x2 + -3xy + -5yz + -1y2 + [-15xz + -5yz + -25z2]] = 0 Reorder the terms: [3xy + -3xy + 15xz + -15xz + 9x2 + -5yz + -5yz + -1y2 + -25z2] = 0 Combine like terms: 3xy + -3xy = 0 [0 + 15xz + -15xz + 9x2 + -5yz + -5yz + -1y2 + -25z2] = 0 [15xz + -15xz + 9x2 + -5yz + -5yz + -1y2 + -25z2] = 0 Combine like terms: 15xz + -15xz = 0 [0 + 9x2 + -5yz + -5yz + -1y2 + -25z2] = 0 [9x2 + -5yz + -5yz + -1y2 + -25z2] = 0 Combine like terms: -5yz + -5yz = -10yz [9x2 + -10yz + -1y2 + -25z2] = 0 Solving 9x2 + -10yz + -1y2 + -25z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10yz' to each side of the equation. 9x2 + -10yz + -1y2 + 10yz + -25z2 = 0 + 10yz Reorder the terms: 9x2 + -10yz + 10yz + -1y2 + -25z2 = 0 + 10yz Combine like terms: -10yz + 10yz = 0 9x2 + 0 + -1y2 + -25z2 = 0 + 10yz 9x2 + -1y2 + -25z2 = 0 + 10yz Remove the zero: 9x2 + -1y2 + -25z2 = 10yz Add 'y2' to each side of the equation. 9x2 + -1y2 + y2 + -25z2 = 10yz + y2 Combine like terms: -1y2 + y2 = 0 9x2 + 0 + -25z2 = 10yz + y2 9x2 + -25z2 = 10yz + y2 Add '25z2' to each side of the equation. 9x2 + -25z2 + 25z2 = 10yz + y2 + 25z2 Combine like terms: -25z2 + 25z2 = 0 9x2 + 0 = 10yz + y2 + 25z2 9x2 = 10yz + y2 + 25z2 Divide each side by '9'. x2 = 1.111111111yz + 0.1111111111y2 + 2.777777778z2 Simplifying x2 = 1.111111111yz + 0.1111111111y2 + 2.777777778z2 Reorder the terms: x2 + -1.111111111yz + -0.1111111111y2 + -2.777777778z2 = 1.111111111yz + -1.111111111yz + 0.1111111111y2 + -0.1111111111y2 + 2.777777778z2 + -2.777777778z2 Combine like terms: 1.111111111yz + -1.111111111yz = 0.000000000 x2 + -1.111111111yz + -0.1111111111y2 + -2.777777778z2 = 0.000000000 + 0.1111111111y2 + -0.1111111111y2 + 2.777777778z2 + -2.777777778z2 x2 + -1.111111111yz + -0.1111111111y2 + -2.777777778z2 = 0.1111111111y2 + -0.1111111111y2 + 2.777777778z2 + -2.777777778z2 Combine like terms: 0.1111111111y2 + -0.1111111111y2 = 0.0000000000 x2 + -1.111111111yz + -0.1111111111y2 + -2.777777778z2 = 0.0000000000 + 2.777777778z2 + -2.777777778z2 x2 + -1.111111111yz + -0.1111111111y2 + -2.777777778z2 = 2.777777778z2 + -2.777777778z2 Combine like terms: 2.777777778z2 + -2.777777778z2 = 0.000000000 x2 + -1.111111111yz + -0.1111111111y2 + -2.777777778z2 = 0.000000000 The solution to this equation could not be determined.
| [(2m+3n)-7][(2m+3n)+7]= | | 4xy/12x^-2 | | -120x-5y=35 | | 60x+3y=-9 | | 2x+2(-6+-10)=0 | | 3/4m=28 | | -16=1/4h | | y=3.54*(-3.80)-2.8 | | y=-4.67*(-3.80)+12.5 | | 2=1/y | | y=-4.67*(-1.86)+12.5 | | y=3.54*(-1.86)-2.8 | | 100g)50ml/111.2g) | | y=3.54*1.86-2.8 | | 14-3/2 | | 7A+4=2(A+42) | | y=-4.67*1.86+12.5 | | y=-4.67*3.80+12.5 | | x^2+3-50x^3=54 | | y=3.54*3.80-2.8 | | [(8n-(-2)]/7=6 | | 16^(-4/7) | | 7+v=8v | | 3*3=-4*3-21 | | 7x-2*1.07=4 | | 7x-2*2.67=4 | | 2(x-3)+4=1-3x | | 3x+2*2.67=8 | | 7x-2*2.87=4 | | 7x-2*1.60=4 | | 3x+5*1.60=8 | | (4y+4)-(3+3y)=5 |