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Simplifying x(4x + -7) + -10 = 6x2 + -7x Reorder the terms: x(-7 + 4x) + -10 = 6x2 + -7x (-7 * x + 4x * x) + -10 = 6x2 + -7x (-7x + 4x2) + -10 = 6x2 + -7x Reorder the terms: -10 + -7x + 4x2 = 6x2 + -7x Reorder the terms: -10 + -7x + 4x2 = -7x + 6x2 Add '7x' to each side of the equation. -10 + -7x + 7x + 4x2 = -7x + 7x + 6x2 Combine like terms: -7x + 7x = 0 -10 + 0 + 4x2 = -7x + 7x + 6x2 -10 + 4x2 = -7x + 7x + 6x2 Combine like terms: -7x + 7x = 0 -10 + 4x2 = 0 + 6x2 -10 + 4x2 = 6x2 Solving -10 + 4x2 = 6x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x2' to each side of the equation. -10 + 4x2 + -6x2 = 6x2 + -6x2 Combine like terms: 4x2 + -6x2 = -2x2 -10 + -2x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -10 + -2x2 = 0 Add '10' to each side of the equation. -10 + 10 + -2x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2x2 = 0 + 10 -2x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -2x2 = 10 Divide each side by '-2'. x2 = -5 Simplifying x2 = -5 Reorder the terms: 5 + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + x2 = 0 The solution to this equation could not be determined.
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