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Simplifying 3(2x + -1)(2x + -1) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) Reorder the terms: 3(-1 + 2x)(2x + -1) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) Reorder the terms: 3(-1 + 2x)(-1 + 2x) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) Multiply (-1 + 2x) * (-1 + 2x) 3(-1(-1 + 2x) + 2x * (-1 + 2x)) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) 3((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) 3((1 + -2x) + 2x * (-1 + 2x)) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) 3(1 + -2x + (-1 * 2x + 2x * 2x)) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) 3(1 + -2x + (-2x + 4x2)) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) Combine like terms: -2x + -2x = -4x 3(1 + -4x + 4x2) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) (1 * 3 + -4x * 3 + 4x2 * 3) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) (3 + -12x + 12x2) + -6(x + -3)(x + 3) = (3x + 2)(2x + -5) Reorder the terms: 3 + -12x + 12x2 + -6(-3 + x)(x + 3) = (3x + 2)(2x + -5) Reorder the terms: 3 + -12x + 12x2 + -6(-3 + x)(3 + x) = (3x + 2)(2x + -5) Multiply (-3 + x) * (3 + x) 3 + -12x + 12x2 + -6(-3(3 + x) + x(3 + x)) = (3x + 2)(2x + -5) 3 + -12x + 12x2 + -6((3 * -3 + x * -3) + x(3 + x)) = (3x + 2)(2x + -5) 3 + -12x + 12x2 + -6((-9 + -3x) + x(3 + x)) = (3x + 2)(2x + -5) 3 + -12x + 12x2 + -6(-9 + -3x + (3 * x + x * x)) = (3x + 2)(2x + -5) 3 + -12x + 12x2 + -6(-9 + -3x + (3x + x2)) = (3x + 2)(2x + -5) Combine like terms: -3x + 3x = 0 3 + -12x + 12x2 + -6(-9 + 0 + x2) = (3x + 2)(2x + -5) 3 + -12x + 12x2 + -6(-9 + x2) = (3x + 2)(2x + -5) 3 + -12x + 12x2 + (-9 * -6 + x2 * -6) = (3x + 2)(2x + -5) 3 + -12x + 12x2 + (54 + -6x2) = (3x + 2)(2x + -5) Reorder the terms: 3 + 54 + -12x + 12x2 + -6x2 = (3x + 2)(2x + -5) Combine like terms: 3 + 54 = 57 57 + -12x + 12x2 + -6x2 = (3x + 2)(2x + -5) Combine like terms: 12x2 + -6x2 = 6x2 57 + -12x + 6x2 = (3x + 2)(2x + -5) Reorder the terms: 57 + -12x + 6x2 = (2 + 3x)(2x + -5) Reorder the terms: 57 + -12x + 6x2 = (2 + 3x)(-5 + 2x) Multiply (2 + 3x) * (-5 + 2x) 57 + -12x + 6x2 = (2(-5 + 2x) + 3x * (-5 + 2x)) 57 + -12x + 6x2 = ((-5 * 2 + 2x * 2) + 3x * (-5 + 2x)) 57 + -12x + 6x2 = ((-10 + 4x) + 3x * (-5 + 2x)) 57 + -12x + 6x2 = (-10 + 4x + (-5 * 3x + 2x * 3x)) 57 + -12x + 6x2 = (-10 + 4x + (-15x + 6x2)) Combine like terms: 4x + -15x = -11x 57 + -12x + 6x2 = (-10 + -11x + 6x2) Add '-6x2' to each side of the equation. 57 + -12x + 6x2 + -6x2 = -10 + -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 57 + -12x + 0 = -10 + -11x + 6x2 + -6x2 57 + -12x = -10 + -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 57 + -12x = -10 + -11x + 0 57 + -12x = -10 + -11x Solving 57 + -12x = -10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 57 + -12x + 11x = -10 + -11x + 11x Combine like terms: -12x + 11x = -1x 57 + -1x = -10 + -11x + 11x Combine like terms: -11x + 11x = 0 57 + -1x = -10 + 0 57 + -1x = -10 Add '-57' to each side of the equation. 57 + -57 + -1x = -10 + -57 Combine like terms: 57 + -57 = 0 0 + -1x = -10 + -57 -1x = -10 + -57 Combine like terms: -10 + -57 = -67 -1x = -67 Divide each side by '-1'. x = 67 Simplifying x = 67
| 6(3+x)+5(7-x)+6=10 | | 6x^3-20x+4=0 | | 2x+5+3(x-4)-3= | | 3/8x-1/4=5/16 | | 300°/° | | (5v-2)(5-v)=0 | | -7x+40=5x-80 | | 5x+97=3000 | | 21y+3x=27 | | U+7=u | | 15y+8=15y+6 | | -4.9t^2+50t-35=0 | | 3xy+6x=7y | | U+-7=u | | 21x-3y=27 | | 4x+2x-1=x+5 | | (12a^4b^6-15a^5b^3)/3a^2b^3 | | 5m^2+5m-10=0 | | -5t^2+50t-35=0 | | 12(7+2x)-4=34-(4x-9) | | 2x-34=2/3(x-27) | | 1.9724p=2.6677p-7-1.6953p | | N+(n+8)=42 | | Sqrt[2x+7]+Sqrt[3x-18]=Sqrt[7x+1] | | 20+3y=7y | | 1/7(2x-5)=-13/14 | | 13+3x=8x+23 | | 17.48=2y | | d+-13=-3.8 | | 3x^2+3=-9 | | g+1.43=8.63 | | 3x-11=4x+9 |