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Simplifying (7x + -1)(9x + 6) = 0 Reorder the terms: (-1 + 7x)(9x + 6) = 0 Reorder the terms: (-1 + 7x)(6 + 9x) = 0 Multiply (-1 + 7x) * (6 + 9x) (-1(6 + 9x) + 7x * (6 + 9x)) = 0 ((6 * -1 + 9x * -1) + 7x * (6 + 9x)) = 0 ((-6 + -9x) + 7x * (6 + 9x)) = 0 (-6 + -9x + (6 * 7x + 9x * 7x)) = 0 (-6 + -9x + (42x + 63x2)) = 0 Combine like terms: -9x + 42x = 33x (-6 + 33x + 63x2) = 0 Solving -6 + 33x + 63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 11x + 21x2) = 0 Factor a trinomial. 3((-2 + -3x)(1 + -7x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {-0.6666666667, 0.1428571429}
| 3=m/13 | | J-8=55 | | -x-6=1-7(1+5x) | | 2x+8=x-6+x | | 9.3=3k | | -[5z-(9z+9)]=9+(3z+8) | | (a^4)(5a)(a^2)+(-4a^2)(2a^2)(a)= | | 2+8x=42 | | 3k+-10=7k+3 | | 707=7(8x+37) | | -16+2x-1-17x=-5x+3-5x | | 15p+7q+5p+4q= | | m^2-3.5m-1.5=0 | | 21k^2-10k-24=0 | | 7.7=y+1.2 | | 9-90=j | | 24X=6+12 | | 7(x-1)=3x+9-2(-6x-1)fraction | | (m^2-m-2.5m+2.5)=0 | | 9x=9-1 | | 90-9=j | | 9.55=j+1.15 | | S-6.9=6 | | 7(x-1)=3x+9-2(-6x-1) | | 23-(6-[4-3(7-5)])= | | -9+90=j | | 50q-(3q+36)= | | (-13x-39)/(13)=5 | | 2+3(2-x)=x(x+2) | | z-51/5=113/4 | | 23-(6-[4-9])= | | -9-90=j |