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Simplifying x2 + (3k + 2) * x + 2(2k + 1) = x2 + (3k + 8) * x + -2(2k + -1) Reorder the terms: x2 + (2 + 3k) * x + 2(2k + 1) = x2 + (3k + 8) * x + -2(2k + -1) Reorder the terms for easier multiplication: x2 + x(2 + 3k) + 2(2k + 1) = x2 + (3k + 8) * x + -2(2k + -1) x2 + (2 * x + 3k * x) + 2(2k + 1) = x2 + (3k + 8) * x + -2(2k + -1) Reorder the terms: x2 + (3kx + 2x) + 2(2k + 1) = x2 + (3k + 8) * x + -2(2k + -1) x2 + (3kx + 2x) + 2(2k + 1) = x2 + (3k + 8) * x + -2(2k + -1) Reorder the terms: x2 + 3kx + 2x + 2(1 + 2k) = x2 + (3k + 8) * x + -2(2k + -1) x2 + 3kx + 2x + (1 * 2 + 2k * 2) = x2 + (3k + 8) * x + -2(2k + -1) x2 + 3kx + 2x + (2 + 4k) = x2 + (3k + 8) * x + -2(2k + -1) Reorder the terms: 2 + 4k + 3kx + 2x + x2 = x2 + (3k + 8) * x + -2(2k + -1) Reorder the terms: 2 + 4k + 3kx + 2x + x2 = x2 + (8 + 3k) * x + -2(2k + -1) Reorder the terms for easier multiplication: 2 + 4k + 3kx + 2x + x2 = x2 + x(8 + 3k) + -2(2k + -1) 2 + 4k + 3kx + 2x + x2 = x2 + (8 * x + 3k * x) + -2(2k + -1) Reorder the terms: 2 + 4k + 3kx + 2x + x2 = x2 + (3kx + 8x) + -2(2k + -1) 2 + 4k + 3kx + 2x + x2 = x2 + (3kx + 8x) + -2(2k + -1) Reorder the terms: 2 + 4k + 3kx + 2x + x2 = x2 + 3kx + 8x + -2(-1 + 2k) 2 + 4k + 3kx + 2x + x2 = x2 + 3kx + 8x + (-1 * -2 + 2k * -2) 2 + 4k + 3kx + 2x + x2 = x2 + 3kx + 8x + (2 + -4k) Reorder the terms: 2 + 4k + 3kx + 2x + x2 = 2 + -4k + 3kx + 8x + x2 Add '-2' to each side of the equation. 2 + 4k + 3kx + 2x + -2 + x2 = 2 + -4k + 3kx + 8x + -2 + x2 Reorder the terms: 2 + -2 + 4k + 3kx + 2x + x2 = 2 + -4k + 3kx + 8x + -2 + x2 Combine like terms: 2 + -2 = 0 0 + 4k + 3kx + 2x + x2 = 2 + -4k + 3kx + 8x + -2 + x2 4k + 3kx + 2x + x2 = 2 + -4k + 3kx + 8x + -2 + x2 Reorder the terms: 4k + 3kx + 2x + x2 = 2 + -2 + -4k + 3kx + 8x + x2 Combine like terms: 2 + -2 = 0 4k + 3kx + 2x + x2 = 0 + -4k + 3kx + 8x + x2 4k + 3kx + 2x + x2 = -4k + 3kx + 8x + x2 Add '-3kx' to each side of the equation. 4k + 3kx + 2x + -3kx + x2 = -4k + 3kx + 8x + -3kx + x2 Reorder the terms: 4k + 3kx + -3kx + 2x + x2 = -4k + 3kx + 8x + -3kx + x2 Combine like terms: 3kx + -3kx = 0 4k + 0 + 2x + x2 = -4k + 3kx + 8x + -3kx + x2 4k + 2x + x2 = -4k + 3kx + 8x + -3kx + x2 Reorder the terms: 4k + 2x + x2 = -4k + 3kx + -3kx + 8x + x2 Combine like terms: 3kx + -3kx = 0 4k + 2x + x2 = -4k + 0 + 8x + x2 4k + 2x + x2 = -4k + 8x + x2 Add '-1x2' to each side of the equation. 4k + 2x + x2 + -1x2 = -4k + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4k + 2x + 0 = -4k + 8x + x2 + -1x2 4k + 2x = -4k + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4k + 2x = -4k + 8x + 0 4k + 2x = -4k + 8x Solving 4k + 2x = -4k + 8x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 4k + 4k + 2x = -4k + 4k + 8x Combine like terms: 4k + 4k = 8k 8k + 2x = -4k + 4k + 8x Combine like terms: -4k + 4k = 0 8k + 2x = 0 + 8x 8k + 2x = 8x Add '-2x' to each side of the equation. 8k + 2x + -2x = 8x + -2x Combine like terms: 2x + -2x = 0 8k + 0 = 8x + -2x 8k = 8x + -2x Combine like terms: 8x + -2x = 6x 8k = 6x Divide each side by '8'. k = 0.75x Simplifying k = 0.75x
| 8x+4x=26x+x | | h-11=2 | | 57-(14x+7)=25(5x+29) | | 4(4a+5)-2(3a-2)= | | 4x-5+x-3=6x-152x | | 6x+17=4x+31 | | [2x-3]=8 | | 9-p+2=-5p+3+2p | | 9x+7(2x-4)=(-19)-4x | | -5(1+6x)=25 | | 3x-2+6=0 | | 80-(91x-28)=30-(3x+66) | | 3m+27=8m-3 | | 138+92= | | 31+1=65 | | m^2-5m-4=0 | | 2x+250=2.25+200 | | 2t+8+t=-3 | | 7=4x-7 | | 4(-4)-3(-12)= | | qs+16y=x | | 6x+10=82+3x | | -3z+13=-z-7 | | 10-12x=-38 | | 20-4c=68 | | 4x^2-23x+13=-8x+4 | | 20=6(6+8p)+8(-4p+8) | | 4x-12=44 | | 6(4x+2)+5(2x-7)=79 | | -3=-9 | | 166-5x=40x+16 | | -(n+2)+8(3+5n)=22 |