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Simplifying f(x) = a(x + 2)(x + -1)(x + -3) Multiply f * x fx = a(x + 2)(x + -1)(x + -3) Reorder the terms: fx = a(2 + x)(x + -1)(x + -3) Reorder the terms: fx = a(2 + x)(-1 + x)(x + -3) Reorder the terms: fx = a(2 + x)(-1 + x)(-3 + x) Multiply (2 + x) * (-1 + x) fx = a(2(-1 + x) + x(-1 + x))(-3 + x) fx = a((-1 * 2 + x * 2) + x(-1 + x))(-3 + x) fx = a((-2 + 2x) + x(-1 + x))(-3 + x) fx = a(-2 + 2x + (-1 * x + x * x))(-3 + x) fx = a(-2 + 2x + (-1x + x2))(-3 + x) Combine like terms: 2x + -1x = 1x fx = a(-2 + 1x + x2)(-3 + x) Multiply (-2 + 1x + x2) * (-3 + x) fx = a(-2(-3 + x) + 1x * (-3 + x) + x2(-3 + x)) fx = a((-3 * -2 + x * -2) + 1x * (-3 + x) + x2(-3 + x)) fx = a((6 + -2x) + 1x * (-3 + x) + x2(-3 + x)) fx = a(6 + -2x + (-3 * 1x + x * 1x) + x2(-3 + x)) fx = a(6 + -2x + (-3x + 1x2) + x2(-3 + x)) fx = a(6 + -2x + -3x + 1x2 + (-3 * x2 + x * x2)) fx = a(6 + -2x + -3x + 1x2 + (-3x2 + x3)) Combine like terms: -2x + -3x = -5x fx = a(6 + -5x + 1x2 + -3x2 + x3) Combine like terms: 1x2 + -3x2 = -2x2 fx = a(6 + -5x + -2x2 + x3) fx = (6 * a + -5x * a + -2x2 * a + x3 * a) fx = (6a + -5ax + -2ax2 + ax3) Solving fx = 6a + -5ax + -2ax2 + ax3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 6ax-1 + -5a + -2ax + ax2 Simplifying f = 6ax-1 + -5a + -2ax + ax2 Reorder the terms: f = -5a + 6ax-1 + -2ax + ax2
| 14=5-44 | | X-10=x-11 | | 9=16t^2 | | d+2.5=-5 | | 45x+7= | | -1-4x=-41 | | 8(4x-2)+5x=5x+32 | | 4a-2=2a+3 | | 60p=3000 | | 26.75=3s+5(s-2.5) | | 10t+t^2=29 | | 2-6(5t+1)= | | -15=2r-11 | | -4=y+4x | | m-6.3=1.4 | | 6x+6=10x+2 | | 10x+2y=300 | | 0=10t+t^2+29 | | 60p=4500 | | X*7=57 | | -306=6(4x-11) | | 10x-3x-6=4x+5x | | 2x^2+18x=-28 | | 200+.25x=410 | | 5x=-2+y | | 200.00s+.25=410 | | 2+(x+8)+1=0 | | 16x^2+0x-50=0 | | 9p=60 | | -2=(3x+2)(x-1) | | 15-4y=15 | | 1x-2(0)=3 |