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Simplifying (x + 9)(x + -1) = (2x + 5)(x + -1) Reorder the terms: (9 + x)(x + -1) = (2x + 5)(x + -1) Reorder the terms: (9 + x)(-1 + x) = (2x + 5)(x + -1) Multiply (9 + x) * (-1 + x) (9(-1 + x) + x(-1 + x)) = (2x + 5)(x + -1) ((-1 * 9 + x * 9) + x(-1 + x)) = (2x + 5)(x + -1) ((-9 + 9x) + x(-1 + x)) = (2x + 5)(x + -1) (-9 + 9x + (-1 * x + x * x)) = (2x + 5)(x + -1) (-9 + 9x + (-1x + x2)) = (2x + 5)(x + -1) Combine like terms: 9x + -1x = 8x (-9 + 8x + x2) = (2x + 5)(x + -1) Reorder the terms: -9 + 8x + x2 = (5 + 2x)(x + -1) Reorder the terms: -9 + 8x + x2 = (5 + 2x)(-1 + x) Multiply (5 + 2x) * (-1 + x) -9 + 8x + x2 = (5(-1 + x) + 2x * (-1 + x)) -9 + 8x + x2 = ((-1 * 5 + x * 5) + 2x * (-1 + x)) -9 + 8x + x2 = ((-5 + 5x) + 2x * (-1 + x)) -9 + 8x + x2 = (-5 + 5x + (-1 * 2x + x * 2x)) -9 + 8x + x2 = (-5 + 5x + (-2x + 2x2)) Combine like terms: 5x + -2x = 3x -9 + 8x + x2 = (-5 + 3x + 2x2) Solving -9 + 8x + x2 = -5 + 3x + 2x2 Solving for variable 'x'. Reorder the terms: -9 + 5 + 8x + -3x + x2 + -2x2 = -5 + 3x + 2x2 + 5 + -3x + -2x2 Combine like terms: -9 + 5 = -4 -4 + 8x + -3x + x2 + -2x2 = -5 + 3x + 2x2 + 5 + -3x + -2x2 Combine like terms: 8x + -3x = 5x -4 + 5x + x2 + -2x2 = -5 + 3x + 2x2 + 5 + -3x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -4 + 5x + -1x2 = -5 + 3x + 2x2 + 5 + -3x + -2x2 Reorder the terms: -4 + 5x + -1x2 = -5 + 5 + 3x + -3x + 2x2 + -2x2 Combine like terms: -5 + 5 = 0 -4 + 5x + -1x2 = 0 + 3x + -3x + 2x2 + -2x2 -4 + 5x + -1x2 = 3x + -3x + 2x2 + -2x2 Combine like terms: 3x + -3x = 0 -4 + 5x + -1x2 = 0 + 2x2 + -2x2 -4 + 5x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4 + 5x + -1x2 = 0 Factor a trinomial. (-4 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {4, 1}
| 20x+5y=6000 | | 0=3x^2-4x+3 | | 7h+5= | | 6x-16=60+4x | | 4y+9y+7y+5y= | | 4n+3r=443.50 | | 7k-k-5= | | 38=d+21 | | 9x+5=7x-15 | | 4a+5=2+3.25 | | 29+7b=5d+15 | | 40x+25y=21000 | | 10-8/5u | | 0.12(x)=4.03 | | 6x-8y+2x+4y=180 | | -X-1=x-12 | | -2x+8-13x=8x+1 | | 1x+4y=-29 | | -1y+4y=-17 | | 4+2=14 | | 1x+4y=-17 | | -12z+36=-12 | | c+14=16 | | 3m(m-4)=-12 | | p(-2.1)=5x^4-3x^3-x-2.75 | | X/.75 | | -x+23=52 | | y/-7-20=-15 | | -2+2d=6d+8 | | =0.5 | | 9x^2+36y^2-4z+36=0 | | x-(-12)=18 |