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Simplifying 9x(x + -7) = 19x2 + -64x Reorder the terms: 9x(-7 + x) = 19x2 + -64x (-7 * 9x + x * 9x) = 19x2 + -64x (-63x + 9x2) = 19x2 + -64x Reorder the terms: -63x + 9x2 = -64x + 19x2 Solving -63x + 9x2 = -64x + 19x2 Solving for variable 'x'. Reorder the terms: -63x + 64x + 9x2 + -19x2 = -64x + 19x2 + 64x + -19x2 Combine like terms: -63x + 64x = 1x 1x + 9x2 + -19x2 = -64x + 19x2 + 64x + -19x2 Combine like terms: 9x2 + -19x2 = -10x2 1x + -10x2 = -64x + 19x2 + 64x + -19x2 Reorder the terms: 1x + -10x2 = -64x + 64x + 19x2 + -19x2 Combine like terms: -64x + 64x = 0 1x + -10x2 = 0 + 19x2 + -19x2 1x + -10x2 = 19x2 + -19x2 Combine like terms: 19x2 + -19x2 = 0 1x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -10x) = 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 '(1 + -10x)' equal to zero and attempt to solve: Simplifying 1 + -10x = 0 Solving 1 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 0 + -1 -10x = 0 + -1 Combine like terms: 0 + -1 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1Solution
x = {0, 0.1}
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