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Simplifying 4x + -1(2x + 3)(3x + -5) = 49 + -1(6x + -1)(x + -2) Reorder the terms: 4x + -1(3 + 2x)(3x + -5) = 49 + -1(6x + -1)(x + -2) Reorder the terms: 4x + -1(3 + 2x)(-5 + 3x) = 49 + -1(6x + -1)(x + -2) Multiply (3 + 2x) * (-5 + 3x) 4x + -1(3(-5 + 3x) + 2x * (-5 + 3x)) = 49 + -1(6x + -1)(x + -2) 4x + -1((-5 * 3 + 3x * 3) + 2x * (-5 + 3x)) = 49 + -1(6x + -1)(x + -2) 4x + -1((-15 + 9x) + 2x * (-5 + 3x)) = 49 + -1(6x + -1)(x + -2) 4x + -1(-15 + 9x + (-5 * 2x + 3x * 2x)) = 49 + -1(6x + -1)(x + -2) 4x + -1(-15 + 9x + (-10x + 6x2)) = 49 + -1(6x + -1)(x + -2) Combine like terms: 9x + -10x = -1x 4x + -1(-15 + -1x + 6x2) = 49 + -1(6x + -1)(x + -2) 4x + (-15 * -1 + -1x * -1 + 6x2 * -1) = 49 + -1(6x + -1)(x + -2) 4x + (15 + 1x + -6x2) = 49 + -1(6x + -1)(x + -2) Reorder the terms: 15 + 4x + 1x + -6x2 = 49 + -1(6x + -1)(x + -2) Combine like terms: 4x + 1x = 5x 15 + 5x + -6x2 = 49 + -1(6x + -1)(x + -2) Reorder the terms: 15 + 5x + -6x2 = 49 + -1(-1 + 6x)(x + -2) Reorder the terms: 15 + 5x + -6x2 = 49 + -1(-1 + 6x)(-2 + x) Multiply (-1 + 6x) * (-2 + x) 15 + 5x + -6x2 = 49 + -1(-1(-2 + x) + 6x * (-2 + x)) 15 + 5x + -6x2 = 49 + -1((-2 * -1 + x * -1) + 6x * (-2 + x)) 15 + 5x + -6x2 = 49 + -1((2 + -1x) + 6x * (-2 + x)) 15 + 5x + -6x2 = 49 + -1(2 + -1x + (-2 * 6x + x * 6x)) 15 + 5x + -6x2 = 49 + -1(2 + -1x + (-12x + 6x2)) Combine like terms: -1x + -12x = -13x 15 + 5x + -6x2 = 49 + -1(2 + -13x + 6x2) 15 + 5x + -6x2 = 49 + (2 * -1 + -13x * -1 + 6x2 * -1) 15 + 5x + -6x2 = 49 + (-2 + 13x + -6x2) Combine like terms: 49 + -2 = 47 15 + 5x + -6x2 = 47 + 13x + -6x2 Add '6x2' to each side of the equation. 15 + 5x + -6x2 + 6x2 = 47 + 13x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15 + 5x + 0 = 47 + 13x + -6x2 + 6x2 15 + 5x = 47 + 13x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15 + 5x = 47 + 13x + 0 15 + 5x = 47 + 13x Solving 15 + 5x = 47 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 15 + 5x + -13x = 47 + 13x + -13x Combine like terms: 5x + -13x = -8x 15 + -8x = 47 + 13x + -13x Combine like terms: 13x + -13x = 0 15 + -8x = 47 + 0 15 + -8x = 47 Add '-15' to each side of the equation. 15 + -15 + -8x = 47 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 47 + -15 -8x = 47 + -15 Combine like terms: 47 + -15 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
| 9x+12=8x+80 | | 0=-5x^2+18x+12 | | 13.5r-2.91=14.4r+8.88 | | 2(-3)+3(0.5)=9 | | 11.2-2x=5.6 | | 2(x+3)-4=10 | | x^2+5y^2-81= | | 5.6=11.2-2x | | 19h-13=20h-14 | | 11x-4=9+50 | | 11x-4=950 | | (-2x^2+3x-7)+(4x^2-3x+9)= | | y=3(-3)+4 | | 7x=3(x+4) | | 12x-18=16x-32 | | 7.5+x=4.5-4x | | 12x-18=16x-8 | | -19+20y=19y | | 25b^2-30b+9=0 | | (x+4)(4x-3)=0 | | 3y^2+10y-16=0 | | -69+8x=2x+99 | | 2x+4(0)=16 | | 17x+23=15x+53 | | (x-7)(2x+9)= | | f+3(-3)=-9 | | 1-x/2=7 | | x^2+33x-540=0 | | 2(1)+4y=16 | | 7*-18= | | 3x-4(1.5)=16 | | -8xy(2x+y)= |