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Simplifying 4x(4x + 3) + -7x(5x + -3) = 0 Reorder the terms: 4x(3 + 4x) + -7x(5x + -3) = 0 (3 * 4x + 4x * 4x) + -7x(5x + -3) = 0 (12x + 16x2) + -7x(5x + -3) = 0 Reorder the terms: 12x + 16x2 + -7x(-3 + 5x) = 0 12x + 16x2 + (-3 * -7x + 5x * -7x) = 0 12x + 16x2 + (21x + -35x2) = 0 Reorder the terms: 12x + 21x + 16x2 + -35x2 = 0 Combine like terms: 12x + 21x = 33x 33x + 16x2 + -35x2 = 0 Combine like terms: 16x2 + -35x2 = -19x2 33x + -19x2 = 0 Solving 33x + -19x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(33 + -19x) = 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 '(33 + -19x)' equal to zero and attempt to solve: Simplifying 33 + -19x = 0 Solving 33 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -19x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -19x = 0 + -33 -19x = 0 + -33 Combine like terms: 0 + -33 = -33 -19x = -33 Divide each side by '-19'. x = 1.736842105 Simplifying x = 1.736842105Solution
x = {0, 1.736842105}
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