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Simplifying (3x + -1)(5x + 4) + -15xsquared = 17 Reorder the terms: (-1 + 3x)(5x + 4) + -15xsquared = 17 Reorder the terms: (-1 + 3x)(4 + 5x) + -15xsquared = 17 Multiply (-1 + 3x) * (4 + 5x) (-1(4 + 5x) + 3x * (4 + 5x)) + -15xsquared = 17 ((4 * -1 + 5x * -1) + 3x * (4 + 5x)) + -15xsquared = 17 ((-4 + -5x) + 3x * (4 + 5x)) + -15xsquared = 17 (-4 + -5x + (4 * 3x + 5x * 3x)) + -15xsquared = 17 (-4 + -5x + (12x + 15x2)) + -15xsquared = 17 Combine like terms: -5x + 12x = 7x (-4 + 7x + 15x2) + -15xsquared = 17 Reorder the terms: -4 + -15adeqrsux + 7x + 15x2 = 17 Solving -4 + -15adeqrsux + 7x + 15x2 = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -15adeqrsux + 7x + 4 + 15x2 = 17 + 4 Reorder the terms: -4 + 4 + -15adeqrsux + 7x + 15x2 = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -15adeqrsux + 7x + 15x2 = 17 + 4 -15adeqrsux + 7x + 15x2 = 17 + 4 Combine like terms: 17 + 4 = 21 -15adeqrsux + 7x + 15x2 = 21 Add '-7x' to each side of the equation. -15adeqrsux + 7x + -7x + 15x2 = 21 + -7x Combine like terms: 7x + -7x = 0 -15adeqrsux + 0 + 15x2 = 21 + -7x -15adeqrsux + 15x2 = 21 + -7x Add '-15x2' to each side of the equation. -15adeqrsux + 15x2 + -15x2 = 21 + -7x + -15x2 Combine like terms: 15x2 + -15x2 = 0 -15adeqrsux + 0 = 21 + -7x + -15x2 -15adeqrsux = 21 + -7x + -15x2 Divide each side by '-15deqrsux'. a = -1.4d-1e-1q-1r-1s-1u-1x-1 + 0.4666666667d-1e-1q-1r-1s-1u-1 + d-1e-1q-1r-1s-1u-1x Simplifying a = -1.4d-1e-1q-1r-1s-1u-1x-1 + 0.4666666667d-1e-1q-1r-1s-1u-1 + d-1e-1q-1r-1s-1u-1x Reorder the terms: a = 0.4666666667d-1e-1q-1r-1s-1u-1 + -1.4d-1e-1q-1r-1s-1u-1x-1 + d-1e-1q-1r-1s-1u-1x
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