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Simplifying g(x) = (4x2 + -7x + -3)(2x2 + -8) Multiply g * x gx = (4x2 + -7x + -3)(2x2 + -8) Reorder the terms: gx = (-3 + -7x + 4x2)(2x2 + -8) Reorder the terms: gx = (-3 + -7x + 4x2)(-8 + 2x2) Multiply (-3 + -7x + 4x2) * (-8 + 2x2) gx = (-3(-8 + 2x2) + -7x * (-8 + 2x2) + 4x2 * (-8 + 2x2)) gx = ((-8 * -3 + 2x2 * -3) + -7x * (-8 + 2x2) + 4x2 * (-8 + 2x2)) gx = ((24 + -6x2) + -7x * (-8 + 2x2) + 4x2 * (-8 + 2x2)) gx = (24 + -6x2 + (-8 * -7x + 2x2 * -7x) + 4x2 * (-8 + 2x2)) gx = (24 + -6x2 + (56x + -14x3) + 4x2 * (-8 + 2x2)) gx = (24 + -6x2 + 56x + -14x3 + (-8 * 4x2 + 2x2 * 4x2)) gx = (24 + -6x2 + 56x + -14x3 + (-32x2 + 8x4)) Reorder the terms: gx = (24 + 56x + -6x2 + -32x2 + -14x3 + 8x4) Combine like terms: -6x2 + -32x2 = -38x2 gx = (24 + 56x + -38x2 + -14x3 + 8x4) Solving gx = 24 + 56x + -38x2 + -14x3 + 8x4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 24x-1 + 56 + -38x + -14x2 + 8x3 Simplifying g = 24x-1 + 56 + -38x + -14x2 + 8x3 Reorder the terms: g = 56 + 24x-1 + -38x + -14x2 + 8x3
| 4x+4x-12xy+9y+9y= | | 0.375(x-4)=1.125x | | 2u^2-3u-5=0 | | 5y-6-3y=13 | | 2x-x+55=2x+4x+5 | | 40x=60x+20 | | -7(2b+4)+(15b-4)=0 | | 9n+n-6=5+2n-18 | | z-3.9z+6.3=2.4(z-4) | | (6x-7)+x=70 | | 8a+8a+23a-3= | | y=2-(-1) | | 9p-13p+p= | | 75-9=5(-4+2e) | | 4x+21x= | | -3(25-m)= | | -n-24=5-1n | | 3*(y+6)=30 | | .75x+6=9-.25x | | 3(25-m)= | | 3(24-m)= | | y+y+4y-45= | | 2w^2+3w-2=0 | | 6x+17=10x-27 | | 3r+16r=38 | | -3(12+k)= | | 1.6-3=-2(4.2x-6) | | 10.5x=63 | | 8-3x-6-3x=4 | | 0=6x^2+48x+10 | | y=3x+2y | | y=6x^2+48x+10 |