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Simplifying 7x + 6x(-8x + 9) = 0 Reorder the terms: 7x + 6x(9 + -8x) = 0 7x + (9 * 6x + -8x * 6x) = 0 7x + (54x + -48x2) = 0 Combine like terms: 7x + 54x = 61x 61x + -48x2 = 0 Solving 61x + -48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(61 + -48x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(61 + -48x)' equal to zero and attempt to solve: Simplifying 61 + -48x = 0 Solving 61 + -48x = 0 Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -48x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -48x = 0 + -61 -48x = 0 + -61 Combine like terms: 0 + -61 = -61 -48x = -61 Divide each side by '-48'. x = 1.270833333 Simplifying x = 1.270833333Solution
x = {0, 1.270833333}
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