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Simplifying (x + -3)(2x + -1) + (x + -3)(-1x + 5) = 0 Reorder the terms: (-3 + x)(2x + -1) + (x + -3)(-1x + 5) = 0 Reorder the terms: (-3 + x)(-1 + 2x) + (x + -3)(-1x + 5) = 0 Multiply (-3 + x) * (-1 + 2x) (-3(-1 + 2x) + x(-1 + 2x)) + (x + -3)(-1x + 5) = 0 ((-1 * -3 + 2x * -3) + x(-1 + 2x)) + (x + -3)(-1x + 5) = 0 ((3 + -6x) + x(-1 + 2x)) + (x + -3)(-1x + 5) = 0 (3 + -6x + (-1 * x + 2x * x)) + (x + -3)(-1x + 5) = 0 (3 + -6x + (-1x + 2x2)) + (x + -3)(-1x + 5) = 0 Combine like terms: -6x + -1x = -7x (3 + -7x + 2x2) + (x + -3)(-1x + 5) = 0 Reorder the terms: 3 + -7x + 2x2 + (-3 + x)(-1x + 5) = 0 Reorder the terms: 3 + -7x + 2x2 + (-3 + x)(5 + -1x) = 0 Multiply (-3 + x) * (5 + -1x) 3 + -7x + 2x2 + (-3(5 + -1x) + x(5 + -1x)) = 0 3 + -7x + 2x2 + ((5 * -3 + -1x * -3) + x(5 + -1x)) = 0 3 + -7x + 2x2 + ((-15 + 3x) + x(5 + -1x)) = 0 3 + -7x + 2x2 + (-15 + 3x + (5 * x + -1x * x)) = 0 3 + -7x + 2x2 + (-15 + 3x + (5x + -1x2)) = 0 Combine like terms: 3x + 5x = 8x 3 + -7x + 2x2 + (-15 + 8x + -1x2) = 0 Reorder the terms: 3 + -15 + -7x + 8x + 2x2 + -1x2 = 0 Combine like terms: 3 + -15 = -12 -12 + -7x + 8x + 2x2 + -1x2 = 0 Combine like terms: -7x + 8x = 1x -12 + 1x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 -12 + 1x + 1x2 = 0 Solving -12 + 1x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-4, 3}
| f(x)=Vx | | -2y+3(0)=4 | | 10y-11(0)=-4 | | g(x)=t^2 | | 10(2.3x+2.8)=10(-1.2x+9.8) | | 4x-25=51 | | 2y+5(5)-19=0 | | -4y+11(5)-67=0 | | 9/10-4/10=5/10-1/5=4/5 | | 700=x+x*1.2 | | 8(x+7)+3=-7(x-10)-5 | | 1.2*700= | | 700=x+(1.2*x) | | 700=x+1.2*x | | -2y-3(9y-1)=2+3(-5-y) | | W+36=1-4(w-5) | | 2(5y-1)+17=4(4y+4)+22 | | (3n^2+-0.75)=90 | | 4u+3=-21 | | x*3x^2=192 | | 10(x-10)-3=30x-183 | | 3(x-11)-7=14x-117 | | -2v^3+3v^2=.5 | | 4x^2+31x=42 | | 2*45=(360/x) | | x/10=17/7 | | 4w-(-2)w= | | x^(2/3)=54 | | 24/x=x/6 | | ln(5x-5)=ln(3x-4) | | -2x+4x=3-5 | | -4(x+2)=3x+1 |