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Simplifying (x + -7)(x + 3) = 24 Reorder the terms: (-7 + x)(x + 3) = 24 Reorder the terms: (-7 + x)(3 + x) = 24 Multiply (-7 + x) * (3 + x) (-7(3 + x) + x(3 + x)) = 24 ((3 * -7 + x * -7) + x(3 + x)) = 24 ((-21 + -7x) + x(3 + x)) = 24 (-21 + -7x + (3 * x + x * x)) = 24 (-21 + -7x + (3x + x2)) = 24 Combine like terms: -7x + 3x = -4x (-21 + -4x + x2) = 24 Solving -21 + -4x + x2 = 24 Solving for variable 'x'. Reorder the terms: -21 + -24 + -4x + x2 = 24 + -24 Combine like terms: -21 + -24 = -45 -45 + -4x + x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -45 + -4x + x2 = 0 Factor a trinomial. (-5 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-5, 9}
| 10p-7=24 | | -11.4-m=10.9 | | 20p-7=24 | | 37+(9x-1)=90 | | 3x/4-2/3=5/6 | | (3y+7)(-4x+2)= | | (6x^2+7)-(-4y^2+7)= | | 6x+15=64 | | sinx=73 | | (x+1)(10x)=(12x+2)x | | (6x+36)=(2x-5) | | 30=-3(-6-2z) | | -9x-22=-184 | | 6w^4+w^3-3w^2=0 | | 56+(7x-1)=90 | | (15/8)=((17-x)/x) | | 5n(4n+1)=0 | | 16+5a=31 | | 10x-6/3-5x | | 32-66= | | x-34=5x+2 | | (2x+6)+(5x+6)= | | 2x(-33)= | | 3a+3-4a+8=6 | | X^2+22x=-20 | | 9=5p+15-4p | | r^2-r=21+3r | | 3-36= | | 8z^4+8z^3=z+1 | | -2y+9(-2y+1)=-5+7(-8-y) | | 1,206.4/x=52 | | 325/26 |