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Simplifying 8x(1 + -7x + 3t) = 0 Reorder the terms: 8x(1 + 3t + -7x) = 0 (1 * 8x + 3t * 8x + -7x * 8x) = 0 Reorder the terms: (24tx + 8x + -56x2) = 0 (24tx + 8x + -56x2) = 0 Solving 24tx + 8x + -56x2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8x' to each side of the equation. 24tx + 8x + -8x + -56x2 = 0 + -8x Combine like terms: 8x + -8x = 0 24tx + 0 + -56x2 = 0 + -8x 24tx + -56x2 = 0 + -8x Remove the zero: 24tx + -56x2 = -8x Add '56x2' to each side of the equation. 24tx + -56x2 + 56x2 = -8x + 56x2 Combine like terms: -56x2 + 56x2 = 0 24tx + 0 = -8x + 56x2 24tx = -8x + 56x2 Divide each side by '24x'. t = -0.3333333333 + 2.333333333x Simplifying t = -0.3333333333 + 2.333333333x
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