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Simplifying 5x(x + -3) + -2(x + 3) = (5x + 15)(x + -3) Reorder the terms: 5x(-3 + x) + -2(x + 3) = (5x + 15)(x + -3) (-3 * 5x + x * 5x) + -2(x + 3) = (5x + 15)(x + -3) (-15x + 5x2) + -2(x + 3) = (5x + 15)(x + -3) Reorder the terms: -15x + 5x2 + -2(3 + x) = (5x + 15)(x + -3) -15x + 5x2 + (3 * -2 + x * -2) = (5x + 15)(x + -3) -15x + 5x2 + (-6 + -2x) = (5x + 15)(x + -3) Reorder the terms: -6 + -15x + -2x + 5x2 = (5x + 15)(x + -3) Combine like terms: -15x + -2x = -17x -6 + -17x + 5x2 = (5x + 15)(x + -3) Reorder the terms: -6 + -17x + 5x2 = (15 + 5x)(x + -3) Reorder the terms: -6 + -17x + 5x2 = (15 + 5x)(-3 + x) Multiply (15 + 5x) * (-3 + x) -6 + -17x + 5x2 = (15(-3 + x) + 5x * (-3 + x)) -6 + -17x + 5x2 = ((-3 * 15 + x * 15) + 5x * (-3 + x)) -6 + -17x + 5x2 = ((-45 + 15x) + 5x * (-3 + x)) -6 + -17x + 5x2 = (-45 + 15x + (-3 * 5x + x * 5x)) -6 + -17x + 5x2 = (-45 + 15x + (-15x + 5x2)) Combine like terms: 15x + -15x = 0 -6 + -17x + 5x2 = (-45 + 0 + 5x2) -6 + -17x + 5x2 = (-45 + 5x2) Add '-5x2' to each side of the equation. -6 + -17x + 5x2 + -5x2 = -45 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6 + -17x + 0 = -45 + 5x2 + -5x2 -6 + -17x = -45 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6 + -17x = -45 + 0 -6 + -17x = -45 Solving -6 + -17x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -17x = -45 + 6 Combine like terms: -6 + 6 = 0 0 + -17x = -45 + 6 -17x = -45 + 6 Combine like terms: -45 + 6 = -39 -17x = -39 Divide each side by '-17'. x = 2.294117647 Simplifying x = 2.294117647
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