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Simplifying 3 + -1(4 + 3x)(2x + 1) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) Reorder the terms: 3 + -1(4 + 3x)(1 + 2x) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) Multiply (4 + 3x) * (1 + 2x) 3 + -1(4(1 + 2x) + 3x * (1 + 2x)) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) 3 + -1((1 * 4 + 2x * 4) + 3x * (1 + 2x)) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) 3 + -1((4 + 8x) + 3x * (1 + 2x)) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) 3 + -1(4 + 8x + (1 * 3x + 2x * 3x)) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) 3 + -1(4 + 8x + (3x + 6x2)) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) Combine like terms: 8x + 3x = 11x 3 + -1(4 + 11x + 6x2) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) 3 + (4 * -1 + 11x * -1 + 6x2 * -1) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) 3 + (-4 + -11x + -6x2) = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) Combine like terms: 3 + -4 = -1 -1 + -11x + -6x2 = 6x + -1(3x + -2)(x + 1) + -1(6 + -3x)(1 + -1x) Reorder the terms: -1 + -11x + -6x2 = 6x + -1(-2 + 3x)(x + 1) + -1(6 + -3x)(1 + -1x) Reorder the terms: -1 + -11x + -6x2 = 6x + -1(-2 + 3x)(1 + x) + -1(6 + -3x)(1 + -1x) Multiply (-2 + 3x) * (1 + x) -1 + -11x + -6x2 = 6x + -1(-2(1 + x) + 3x * (1 + x)) + -1(6 + -3x)(1 + -1x) -1 + -11x + -6x2 = 6x + -1((1 * -2 + x * -2) + 3x * (1 + x)) + -1(6 + -3x)(1 + -1x) -1 + -11x + -6x2 = 6x + -1((-2 + -2x) + 3x * (1 + x)) + -1(6 + -3x)(1 + -1x) -1 + -11x + -6x2 = 6x + -1(-2 + -2x + (1 * 3x + x * 3x)) + -1(6 + -3x)(1 + -1x) -1 + -11x + -6x2 = 6x + -1(-2 + -2x + (3x + 3x2)) + -1(6 + -3x)(1 + -1x) Combine like terms: -2x + 3x = 1x -1 + -11x + -6x2 = 6x + -1(-2 + 1x + 3x2) + -1(6 + -3x)(1 + -1x) -1 + -11x + -6x2 = 6x + (-2 * -1 + 1x * -1 + 3x2 * -1) + -1(6 + -3x)(1 + -1x) -1 + -11x + -6x2 = 6x + (2 + -1x + -3x2) + -1(6 + -3x)(1 + -1x) Multiply (6 + -3x) * (1 + -1x) -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + -1(6(1 + -1x) + -3x * (1 + -1x)) -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + -1((1 * 6 + -1x * 6) + -3x * (1 + -1x)) -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + -1((6 + -6x) + -3x * (1 + -1x)) -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + -1(6 + -6x + (1 * -3x + -1x * -3x)) -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + -1(6 + -6x + (-3x + 3x2)) Combine like terms: -6x + -3x = -9x -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + -1(6 + -9x + 3x2) -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + (6 * -1 + -9x * -1 + 3x2 * -1) -1 + -11x + -6x2 = 6x + 2 + -1x + -3x2 + (-6 + 9x + -3x2) Reorder the terms: -1 + -11x + -6x2 = 2 + -6 + 6x + -1x + 9x + -3x2 + -3x2 Combine like terms: 2 + -6 = -4 -1 + -11x + -6x2 = -4 + 6x + -1x + 9x + -3x2 + -3x2 Combine like terms: 6x + -1x = 5x -1 + -11x + -6x2 = -4 + 5x + 9x + -3x2 + -3x2 Combine like terms: 5x + 9x = 14x -1 + -11x + -6x2 = -4 + 14x + -3x2 + -3x2 Combine like terms: -3x2 + -3x2 = -6x2 -1 + -11x + -6x2 = -4 + 14x + -6x2 Add '6x2' to each side of the equation. -1 + -11x + -6x2 + 6x2 = -4 + 14x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -1 + -11x + 0 = -4 + 14x + -6x2 + 6x2 -1 + -11x = -4 + 14x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -1 + -11x = -4 + 14x + 0 -1 + -11x = -4 + 14x Solving -1 + -11x = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -1 + -11x + -14x = -4 + 14x + -14x Combine like terms: -11x + -14x = -25x -1 + -25x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 -1 + -25x = -4 + 0 -1 + -25x = -4 Add '1' to each side of the equation. -1 + 1 + -25x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -25x = -4 + 1 -25x = -4 + 1 Combine like terms: -4 + 1 = -3 -25x = -3 Divide each side by '-25'. x = 0.12 Simplifying x = 0.12
| 3-(4+3x)(2x+1)=6x-(3x-2)(x+1)-(6-3x)(x-1) | | -6y=xspuared | | 9(3-2x)=2-10x | | 8(12-k)=5n-43 | | 15(n+2)=(10+5n) | | -3x+5x+4=-6 | | -2(5.5x-2.5)=24.5+4.5x | | 3x-8=56-5x | | 134-(7x+16)=7(x+4)+x | | c+4+2x+4x-3=140 | | 144=x^2+2x | | -5=3x+13 | | -6x=4x-10 | | 12mn+4m-2n= | | -5(-8.5+3.5y)-8y=17 | | 3x+22= | | (x-3i)(x+3i)(3-i)(3+i)=0 | | x*4+15=79 | | 25x-144x^3= | | 18p+8q+2q-7q= | | Y-8+2y=0 | | 16+5n-6=20 | | r(n)=4.5n-8 | | 5p^2+31p+6=0 | | W-4=2.63 | | 28=4z | | -2/3w=-6 | | f(5)=-2(6x+2) | | 6x+20+4x+10=180 | | Ax=B+4x | | Cos(0)=sin(0) | | 48=16x-(x*x) |