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Simplifying (4x + -3)(3x + -4) = (x + 6)(x + 2) Reorder the terms: (-3 + 4x)(3x + -4) = (x + 6)(x + 2) Reorder the terms: (-3 + 4x)(-4 + 3x) = (x + 6)(x + 2) Multiply (-3 + 4x) * (-4 + 3x) (-3(-4 + 3x) + 4x * (-4 + 3x)) = (x + 6)(x + 2) ((-4 * -3 + 3x * -3) + 4x * (-4 + 3x)) = (x + 6)(x + 2) ((12 + -9x) + 4x * (-4 + 3x)) = (x + 6)(x + 2) (12 + -9x + (-4 * 4x + 3x * 4x)) = (x + 6)(x + 2) (12 + -9x + (-16x + 12x2)) = (x + 6)(x + 2) Combine like terms: -9x + -16x = -25x (12 + -25x + 12x2) = (x + 6)(x + 2) Reorder the terms: 12 + -25x + 12x2 = (6 + x)(x + 2) Reorder the terms: 12 + -25x + 12x2 = (6 + x)(2 + x) Multiply (6 + x) * (2 + x) 12 + -25x + 12x2 = (6(2 + x) + x(2 + x)) 12 + -25x + 12x2 = ((2 * 6 + x * 6) + x(2 + x)) 12 + -25x + 12x2 = ((12 + 6x) + x(2 + x)) 12 + -25x + 12x2 = (12 + 6x + (2 * x + x * x)) 12 + -25x + 12x2 = (12 + 6x + (2x + x2)) Combine like terms: 6x + 2x = 8x 12 + -25x + 12x2 = (12 + 8x + x2) Add '-12' to each side of the equation. 12 + -25x + -12 + 12x2 = 12 + 8x + -12 + x2 Reorder the terms: 12 + -12 + -25x + 12x2 = 12 + 8x + -12 + x2 Combine like terms: 12 + -12 = 0 0 + -25x + 12x2 = 12 + 8x + -12 + x2 -25x + 12x2 = 12 + 8x + -12 + x2 Reorder the terms: -25x + 12x2 = 12 + -12 + 8x + x2 Combine like terms: 12 + -12 = 0 -25x + 12x2 = 0 + 8x + x2 -25x + 12x2 = 8x + x2 Solving -25x + 12x2 = 8x + x2 Solving for variable 'x'. Reorder the terms: -25x + -8x + 12x2 + -1x2 = 8x + x2 + -8x + -1x2 Combine like terms: -25x + -8x = -33x -33x + 12x2 + -1x2 = 8x + x2 + -8x + -1x2 Combine like terms: 12x2 + -1x2 = 11x2 -33x + 11x2 = 8x + x2 + -8x + -1x2 Reorder the terms: -33x + 11x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 -33x + 11x2 = 0 + x2 + -1x2 -33x + 11x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -33x + 11x2 = 0 Factor out the Greatest Common Factor (GCF), '11x'. 11x(-3 + x) = 0 Ignore the factor 11.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
| -10/3x+5/3x=35/6 | | 1.15a*8-0.4a=-7 | | 5a+5a+15+12a+15+5a= | | -1/4x-x=-5/6 | | 3y^2+26y=16 | | 13.99(x+-12.001)=97.93 | | 19.99(x+-12.001)=97.93 | | 4(c-4)=8(c-6) | | 1.5b=1200 | | 4y+11x-9=0 | | 3(x+8)-15= | | 13.99(x+12.00)=1000.00 | | 3-6n+3n=32-95 | | 300x=1500 | | 13.99(x+-12.00)=1000.00 | | -64+9y+4=5(3y-3)-9 | | 3/14+10/21/(3/7)(9/4) | | 2x-5y=-16 | | 13.99(x+-12.00)=97.93 | | 6X+2(60)= | | (x-3)(x+2)=(x-1)(x+1) | | -5x-3y(7x-12)=16 | | 19.99(x-12.00)=97.93 | | -59+11y+9=5(3y-5)-4 | | -59+11y+9=5(3y-5)-y | | 4+=156 | | (9+z)(4z+5)=0 | | 4+=145 | | 3(c-4)+9=2+c-5 | | 4+x=156 | | y=-7+16x | | 1/2k+2=5 |