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Simplifying (4x + 3)(4x + 1) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) Reorder the terms: (3 + 4x)(4x + 1) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) Reorder the terms: (3 + 4x)(1 + 4x) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) Multiply (3 + 4x) * (1 + 4x) (3(1 + 4x) + 4x * (1 + 4x)) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) ((1 * 3 + 4x * 3) + 4x * (1 + 4x)) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) ((3 + 12x) + 4x * (1 + 4x)) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) (3 + 12x + (1 * 4x + 4x * 4x)) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) (3 + 12x + (4x + 16x2)) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) Combine like terms: 12x + 4x = 16x (3 + 16x + 16x2) + -1(x + -2)(x + -2) = (5x + 1)(3x + 5) Reorder the terms: 3 + 16x + 16x2 + -1(-2 + x)(x + -2) = (5x + 1)(3x + 5) Reorder the terms: 3 + 16x + 16x2 + -1(-2 + x)(-2 + x) = (5x + 1)(3x + 5) Multiply (-2 + x) * (-2 + x) 3 + 16x + 16x2 + -1(-2(-2 + x) + x(-2 + x)) = (5x + 1)(3x + 5) 3 + 16x + 16x2 + -1((-2 * -2 + x * -2) + x(-2 + x)) = (5x + 1)(3x + 5) 3 + 16x + 16x2 + -1((4 + -2x) + x(-2 + x)) = (5x + 1)(3x + 5) 3 + 16x + 16x2 + -1(4 + -2x + (-2 * x + x * x)) = (5x + 1)(3x + 5) 3 + 16x + 16x2 + -1(4 + -2x + (-2x + x2)) = (5x + 1)(3x + 5) Combine like terms: -2x + -2x = -4x 3 + 16x + 16x2 + -1(4 + -4x + x2) = (5x + 1)(3x + 5) 3 + 16x + 16x2 + (4 * -1 + -4x * -1 + x2 * -1) = (5x + 1)(3x + 5) 3 + 16x + 16x2 + (-4 + 4x + -1x2) = (5x + 1)(3x + 5) Reorder the terms: 3 + -4 + 16x + 4x + 16x2 + -1x2 = (5x + 1)(3x + 5) Combine like terms: 3 + -4 = -1 -1 + 16x + 4x + 16x2 + -1x2 = (5x + 1)(3x + 5) Combine like terms: 16x + 4x = 20x -1 + 20x + 16x2 + -1x2 = (5x + 1)(3x + 5) Combine like terms: 16x2 + -1x2 = 15x2 -1 + 20x + 15x2 = (5x + 1)(3x + 5) Reorder the terms: -1 + 20x + 15x2 = (1 + 5x)(3x + 5) Reorder the terms: -1 + 20x + 15x2 = (1 + 5x)(5 + 3x) Multiply (1 + 5x) * (5 + 3x) -1 + 20x + 15x2 = (1(5 + 3x) + 5x * (5 + 3x)) -1 + 20x + 15x2 = ((5 * 1 + 3x * 1) + 5x * (5 + 3x)) -1 + 20x + 15x2 = ((5 + 3x) + 5x * (5 + 3x)) -1 + 20x + 15x2 = (5 + 3x + (5 * 5x + 3x * 5x)) -1 + 20x + 15x2 = (5 + 3x + (25x + 15x2)) Combine like terms: 3x + 25x = 28x -1 + 20x + 15x2 = (5 + 28x + 15x2) Add '-15x2' to each side of the equation. -1 + 20x + 15x2 + -15x2 = 5 + 28x + 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -1 + 20x + 0 = 5 + 28x + 15x2 + -15x2 -1 + 20x = 5 + 28x + 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -1 + 20x = 5 + 28x + 0 -1 + 20x = 5 + 28x Solving -1 + 20x = 5 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -1 + 20x + -28x = 5 + 28x + -28x Combine like terms: 20x + -28x = -8x -1 + -8x = 5 + 28x + -28x Combine like terms: 28x + -28x = 0 -1 + -8x = 5 + 0 -1 + -8x = 5 Add '1' to each side of the equation. -1 + 1 + -8x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 5 + 1 -8x = 5 + 1 Combine like terms: 5 + 1 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
| 18x+15=6x(2x+3)+6x-3 | | 10/7=2x+4 | | 20=-16t+45t+6 | | 2-5y+z=-10 | | 7-2x^2=8x+14 | | y+24=3 | | 7(y-8)+24=10(y-6) | | 8b-95= | | -5x+8=-3x-10 | | ln(x^2+20)=ln(9x) | | -7.9k+7.4=283.9 | | 1.9h+9.6=-53.3 | | h=-16t^2+3.5t | | 27-7e=9e | | 27-7e= | | http://compass.scsk12.org/Assess/DPT/QIEImagesStorage/HSLQ_/HSLQ_A213B01_J_stem1_1.gif | | b+6.8=46.9 | | Y+32=2y+6 | | 2.9x-1.5=13 | | 2.9x-1.6=14 | | 2.5x+43.4=50.9 | | 3qr+3t=6u | | q/7=17.5/7 | | 3x^2-65x+250=0 | | 3(x^2)-5x+.5=0 | | 10x+15y=590 | | N+-6=42 | | 7y+2(y-7)=6(y-7)-3 | | 6=-x+e | | log(x^2-25)=log(10x) | | 6x+3=12x+8 | | -11e-3=8-4e |
