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Simplifying 5(2x2 + -8) + -1[4(9x2 + -1) + 7] = 0 Reorder the terms: 5(-8 + 2x2) + -1[4(9x2 + -1) + 7] = 0 (-8 * 5 + 2x2 * 5) + -1[4(9x2 + -1) + 7] = 0 (-40 + 10x2) + -1[4(9x2 + -1) + 7] = 0 Reorder the terms: -40 + 10x2 + -1[4(-1 + 9x2) + 7] = 0 -40 + 10x2 + -1[(-1 * 4 + 9x2 * 4) + 7] = 0 -40 + 10x2 + -1[(-4 + 36x2) + 7] = 0 Reorder the terms: -40 + 10x2 + -1[-4 + 7 + 36x2] = 0 Combine like terms: -4 + 7 = 3 -40 + 10x2 + -1[3 + 36x2] = 0 -40 + 10x2 + [3 * -1 + 36x2 * -1] = 0 -40 + 10x2 + [-3 + -36x2] = 0 Reorder the terms: -40 + -3 + 10x2 + -36x2 = 0 Combine like terms: -40 + -3 = -43 -43 + 10x2 + -36x2 = 0 Combine like terms: 10x2 + -36x2 = -26x2 -43 + -26x2 = 0 Solving -43 + -26x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -26x2 = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -26x2 = 0 + 43 -26x2 = 0 + 43 Combine like terms: 0 + 43 = 43 -26x2 = 43 Divide each side by '-26'. x2 = -1.653846154 Simplifying x2 = -1.653846154 Reorder the terms: 1.653846154 + x2 = -1.653846154 + 1.653846154 Combine like terms: -1.653846154 + 1.653846154 = 0.000000000 1.653846154 + x2 = 0.000000000 The solution to this equation could not be determined.
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